Use the image to answer the question.
An illustration shows a parallelogram. The base measures 15 centimeters. The perpendicular height is marked with a dashed line outside the figure from the top right corner to the base. The perpendicular height measures 5 centimeters.
What is the area of the parallelogram?
The area of a parallelogram is calculated by multiplying the base by the perpendicular height.
Area = base x height
Area = 15 cm x 5 cm
Area = 75 square centimeters
Therefore, the area of the parallelogram is 75 square centimeters.
The area of a parallelogram is 18 m2 . If the height of the parallelogram is 3 m, what is the length of one base of the parallelogram?(1 point)
To find the length of one base of the parallelogram, we can use the formula for the area of a parallelogram:
Area = base x height
Given that the area is 18 m^2 and the height is 3 m:
18 = base x 3
To isolate the base, we divide both sides by 3:
base = 18 / 3
base = 6
Therefore, the length of one base of the parallelogram is 6 meters.
What is the area of a trapezoid that has a base length of 13 in., a base length of 7 in., and a height of 12 in.?(1 point)
The formula for the area of a trapezoid is:
Area = (1/2) * (base1 + base2) * height
Given that the trapezoid has a base length of 13 in., a base length of 7 in., and a height of 12 in., we can substitute these values into the formula:
Area = (1/2) * (13 + 7) * 12
Area = (1/2) * 20 * 12
Area = 10 * 12
Area = 120 square inches
Therefore, the area of the trapezoid is 120 square inches.
A trapezoid has one pair of opposite parallel sides and one pair of opposite non-parallel sides. The pair of parallel sides has lengths 15 yd. and 19 yd. The non-parallel sides have lengths of 11 yd. and 8 yd. The distance between the parallel sides is 12 yd. What is the area of the trapezoid?(1 point
To find the area of the trapezoid, we can use the formula:
Area = (1/2) * (sum of lengths of parallel sides) * height
Given that the parallel sides have lengths of 15 yd. and 19 yd., and the height (distance between the parallel sides) is 12 yd., we can substitute these values into the formula:
Area = (1/2) * (15 + 19) * 12
Area = (1/2) * 34 * 12
Area = (17) * 12
Area = 204 square yards
Therefore, the area of the trapezoid is 204 square yards.
9 of 159 of 15 Items
Question
Use the image to answer the question.
An illustration of a parallelogram shows the following dimensions: The base is 12 feet. The perpendicular height from the top left vertex to the base is 7 inches. The height is drawn as a dashed line.
A pool company is installing a parallelogram-shaped swimming pool in a family’s back yard. Compose a rectangle to find the amount of area that the pool will take up in the yard. What is the area of the pool?
(1 point)
The area of a parallelogram can be calculated by multiplying the base by the perpendicular height.
Given:
Base = 12 feet
Perpendicular height = 7 inches
First, we need to convert the height to feet to ensure consistency in the units:
1 foot = 12 inches
7 inches = 7/12 feet
Now, we can calculate the area of the parallelogram:
Area = base x height
Area = 12 feet x 7/12 feet
Area = 84/12 square feet
Area = 7 square feet
Therefore, the area of the pool is 7 square feet.
10 of 1510 of 15 Items
Question
Use the image to answer the question.
An illustration shows an outline of a right arrow consisting of a rectangle and a triangular head to its right. The length of the rectangle is 4 and the width is 2. The right width of the triangle does not show a line. It forms the central part of the verticle base of the triangle. The other parts of the base are labeled 2 on the top and bottom each. The perpendicular height from the base to the top vertex of the triangle is labeled as 5.
An artist is planning to paint an arrow using the pattern shown. What is the amount of area in square feet that will be painted?
(1 point)
To find the total area that will be painted, we need to calculate the combined areas of the rectangle and the triangle.
Rectangle:
Area of a rectangle is given by:
Area = length x width
Area = 4 x 2
Area = 8 square feet
Triangle:
The formula for the area of a triangle is:
Area = (1/2) x base x height
Given that the base of the triangle is the sum of 2 and 2 (center part width plus top part width) = 4, and the height is 5:
Area = (1/2) x 4 x 5
Area = 10 square feet
Total area painted:
Total area = Area of rectangle + Area of triangle
Total area = 8 + 10
Total area = 18 square feet
Therefore, the total area that will be painted is 18 square feet.