Question

A rectangular building lot has the dimensions shown. If its area is 2,700 ft², what is the value of x?

A. x = 100
B. x = 50
C. x = 70
D. x = 35

Answer 1

The correct value of x is option B, which is 50. By dividing the area of the rectangular lot by its width, we find the length to be 50 feet.

Step-by-step explanation:

The correct answer is option B. x = 50.

To find the value of x when the area of a rectangular building lot is given, you simply divide the area by one of the dimensions. According to the information provided, the area of the lot is 2,700 square feet (ft²) and the width (w) is known to be 100 feet. Using the formula for the area of a rectangle, which is length times width (A = l × w), you can set up the equation as 2,700 = x × 100, where x represents the unknown length.

Divide both sides of the equation by 100 to isolate x:

• 2,700 / 100 = x
• 27 = x

Therefore, the length of the lot is 50 feet, making option B the correct answer.