Area and Volume Unit Test
7 of 157 of 15 Items
Question
Use the image to answer the question.
An illustration shows a triangle aligned on top of a rectangle. The base of the triangle is aligned to the width of the rectangle. The height of the rectangle measures 10 inches. The base measures 5 inches. The height of the figure from the vertex of the triangle to the base of the rectangle measures 18 inches.
A boutique sells stained glass window hangings. What is the area of this window hanging?
(1 point)
Responses
90 in.2
90 in. squared
95 in.2
95 in. squared
70 in.2
70 in. squared
50 in.2
To find the total area of the stained glass window hanging, we need to find the area of the rectangle and the area of the triangle separately, then add them together.
Area of rectangle = base x height
Area of rectangle = 5 in x 10 in
Area of rectangle = 50 in^2
Area of triangle = 0.5 x base x height
Area of triangle = 0.5 x 5 in x 18 in
Area of triangle = 45 in^2
Total area = area of rectangle + area of triangle
Total area = 50 in^2 + 45 in^2
Total area = 95 in^2
Therefore, the area of the stained glass window hanging is 95 in^2.
Correct Response:
95 in.2
95 in. squared