Use the image to answer the question.
An illustration shows a right angled triangle. The perpendicular height is 8 meters and the base is 25.3 meters.
The city is planning to plant a certain number of trees for every square meter of a triangle-shaped park. Compose a rectangle to find the area of the park. What is the area of the park in square meters?
(1 point)
square meters
Skip to navigation
The area of a triangle is calculated using the formula: Area = 1/2 * base * height
In this case, the base is 25.3 meters and the height is 8 meters. So, the area of the park would be:
Area = 1/2 * 25.3 * 8
Area = 101.2 square meters
Therefore, the area of the park is 101.2 square meters.
To find the total area that the artist needs to cover in gold leaf, we need to calculate the areas of the individual shapes and then sum them up:
1. Area of the two vertical legs:
Each leg is a rectangle with a base of 0.8 cm and a height of 6.0 cm.
Area of one leg = base * height = 0.8 * 6.0 = 4.8 square cm
Total area of both legs = 2 * 4.8 = 9.6 square cm
2. Area of the horizontal bridge:
The bridge is a rectangle with a base of 2.1 cm and a height of 0.5 cm.
Area of the bridge = base * height = 2.1 * 0.5 = 1.05 square cm
Adding up the areas of the legs and the bridge:
Total area = 9.6 + 1.05 = 10.65 square cm
Therefore, the artist will need 10.65 square centimeters of gold leaf.
To calculate the total amount of tile needed to create the pattern, we first need to find the total area of the composite structure. The structure consists of a pentagon and a square.
1. Area of the pentagon:
The pentagon can be split into a triangle and a rectangle. The triangle has a base of 6 and a height of 3 (given in the description). The triangle's area is 1/2 * base * height.
Area of the triangle = 1/2 * 6 * 3 = 9 square units.
The rectangle that remains in the pentagon has a base of 6 and a height of 3.
Area of the rectangle = base * height = 6 * 3 = 18 square units.
Total area of the pentagon = Area of triangle + Area of rectangle = 9 + 18 = 27 square units.
2. Area of the square:
The square has a side length of 3, so its area is side^2.
Area of the square = 3^2 = 9 square units.
Total area of the composite structure = Area of pentagon + Area of square = 27 + 9 = 36 square units.
Therefore, the remodeler will need 36 square centimeters of tile to create the pattern.
Use the image to answer the question.
A grid 16 columns by 8 rows shows a trapezoid on it. The top left vertex is at the start of 2nd row and end of 3rd column. The top right vertex is at the start of 2nd row and end of 13th column. The bottom left vertex is at the end of 7th row and end of 1st column. The bottom right vertex is at the end of 7th row and end of 15th column.
A designer wants to estimate the area of a trapezoid-shaped stage. Each square represents one square foot. The designer decides to find the area by composing a rectangle. What is the length of the base of the rectangle in feet?
(1 point)
feet
Skip to navigation
To find the length of the base of the rectangle, we need to calculate the width of the trapezoid. The width of the trapezoid is the difference between the left and right bases of the trapezoid.
In this case, the left base starts at the 2nd column and the right base ends at the 13th column. Since there are 16 columns in total, the width of the trapezoid would be:
Width = 13 - 2 + 1
Width = 12 + 1
Width = 13 feet
Therefore, the length of the base of the rectangle (width of the trapezoid) is 13 feet.
3 of 53 of 5 Items
Question
Use the image to answer the question.
An illustration shows a parallelogram with a base length of 12 meters and right side of 10 meters.
A gardener wants to cover a parallelogram-shaped piece of land with colorful flowers. To find the area of the garden, the gardener composes a rectangle. What is the base of the rectangle in meters?
(1 point)
meters
4 of 54 of 5 Items
Question
Use the image to answer the question.
An illustration shows the outline of an uppercase letter H. The vertical sides are labeled as 6.0, and the base of each leg is 0.8. The length of the horizontal bridge in the middle is 2.1, and the width is 0.5, denoted by a dashed line on the right side.
An artist wants to cover in gold leaf a card with the initial letter shown. Decompose the letter into simple shapes to find the area. How many square centimeters of gold leaf will the artist need? Do not round your answer.
(1 point)
The artist will need
square centimeters of gold leaf.
Skip to navigation
Use the image to answer the question.
An illustration shows a composite structure of a pentagon with two right angles and a square, resembling a house. The base of the pentagon is of length 6. The two sides are perpendicular to the base. The perpendicular right side of the pentagon shares a common side with a square of side 3, with the base of the square continuing out length 3 from the end of the pentagon base of length 6. A solid vertical line is drawn from the top vertex of the pentagon to the midpoint on the base, dividing the shape in half. The height from the top vertex to the end of the perpendicular sides is marked as 3.
A home remodeler has chosen a tile pattern for a floor. How much tile is needed to create the pattern?
(1 point)
square centimeters
love the name A n I m e*
The base of the parallelogram is given as 12 meters. Since a parallelogram has opposite sides that are equal in length, the opposite side (height) of the parallelogram is also equal to 12 meters.
Therefore, to find the base of the rectangle (which would be the same as the base of the parallelogram), the gardener should use the given base length of the parallelogram, which is 12 meters.
So, the base of the rectangle in meters is 12 meters.