Question

Carlos is making a wood picture frame.

The picture frame is 5 inches by 7 inches.
After nailing the frame together, Carlos measures the diagonal. If the diagonal is 8.9 inches long, what is true about the frame?

Answer 1

D. The frame is not a rectangle.

Explanation:

If the length and width are 5 and 7, according to the Pythagorean Theorem:

5^2 + 7^2 = d^2

25 + 49 = d^2

74 = d^2

sqrt74 = d

8.6 = d

According to the Pythagorean Thm, the diagonal should be sqrt74, that is 8.6

The diagonal was measured at 8.9

So, this means that the corners are not 90°. The shape is not a rectangle.