Question

A kitchen counter will be designed according to the measurements of the diagram in the image. What is the area of the surface of the counter in square feet?

A. 27 ft²
B. 31.5 ft²
C. 36 ft²
D. 40 ft²

Answer 1

31.5

Explanation:

so first find the area of the triangle, which is 9. then divide that by 2 which equals 4.5.

now find the area of the missing square, which is 5×4, and that equals 20. now pretend that the square is whole, and find the area of the whole square. that would be 8×7, which equals 56. so now you need to subtract 4.5 and 20 from 56.

56

24.5

____

31.5

Answer 2

B:31.5

Explanation:

Find areas of both rectangles by multiplying the 2 given values (12 & 15)

Take the sides parallel to the triangles non-hypotenuse sides (3 & 3)

Take both values and add them over 2

Receive the answer 4.5

Add that to the rectangle values for an answer of 31.5

Hope this helps

Have a good day