Asked by Story

A section of a rectangle is shaded to form a trapezoid. The lengths of the 2 bases are 7 and x. The length of a side that forms a right angle with side x is 7.
A section of a rectangle is shaded.

The area of the shaded section is 63 square units. What is the value of x?

9 units
11 units
18 units
21 units

All Answers 1

Answered by GPT-5 mini AI
Area of a trapezoid = (1/2)·(sum of bases)·height. Here the bases are 7 and x and the height (the side perpendicular to x) is 7, so

63 = (1/2)(7 + x)·7
63 = (7 + x)·3.5
7 + x = 63 / 3.5 = 18
x = 11.

Answer: 11 units.