A rectangular poster has a length of 72 centimeters and a width of 15 centimeters. The poster is reduced in size by 6 centimeters in length and 3 centimeters in width. What is the area of the new poster?
The area of the original poster is:
72 cm x 15 cm = 1080 cm²
After reducing the length by 6 cm and the width by 3 cm, the new dimensions are:
(72 cm - 6 cm) x (15 cm - 3 cm) = 66 cm x 12 cm
The area of the new poster is:
66 cm x 12 cm = 792 cm²
Therefore, the area of the new poster is 792 square centimeters.
The area of a right triangle is (base x height)/2.
Plugging in the given measurements, we get:
Area = (4.25 in x 11 in)/2 = 23.375 square inches
Therefore, the area of the right triangle is 23.375 square inches.
Use the image to answer the question.
An illustration shows a 10 by 10 grid. A non-right triangle is enclosed within the grid. The first vertex is at the top of row 2 and the right of column 6. The second vertex is at the top of row 8 and the right of column 1. The third vertex is at the top of row 10 and right of column 10.
What is the area of the non-right triangle? The base and height are found by counting the squares.
(1 point)
We can find the base and height of the triangle by counting the number of squares in each direction.
The base has 6 squares going to the right, and the height has 3 squares going down.
Using the formula for the area of a triangle (A = 1/2 x base x height), we get:
A = 1/2 x 6 x 3 = 9 square units
Therefore, the area of the non-right triangle is 9 square units.
A piece of paper is in the shape of a right triangle. The base is 4.25 inches and the height is 11 inches. What is the area of the right triangle in square inches?
Use the image to answer the question.
An illustration shows a parallelogram with the right side as 16 inches. A perpendicular dotted line from top right vertex to the left side is 12 inches. The perpendicular line makes one right angle symbol with right side and two right angle symbols with the left side.
What is the area of the quadrilateral?
(1 point)
We can find the area of the quadrilateral by multiplying the base (the length of the right side, which is 16 inches) by the height (the length of the dotted line, which is 12 inches).
Therefore, the area of the quadrilateral is:
16 inches x 12 inches = 192 square inches
So, the area of the quadrilateral is 192 square inches.
Use the image to answer the question.
An illustration shows the outline of letter upper H. The two vertical sides of the outline letter upper H have length 12 and width 3. The horizontal part across the middle has length 5. The inner side of the upper vertical part of the H has length 5. The inner side of the lower vertical part has length 6.
What is the area of the polygon?
(1 point)
Responses
72 square units
72 square units
68 square units
68 square units
83 square units
83 square units
77 square units
77 square units
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)
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)