Question

For the rectangular parking area of the shopping center​ shown, which one of the following equations says that the area is 30,000 yd^2​?

A. x+(3x+100)=30,000

B. x(3x+100)=30,000

C. 2x+2(3x+100)=30,000

D. none of the above

Equation __ says that the area is 30,000 yd^2.

Answer 1

Area of a rectangle is given by:
Area=length×width
From above we see that area is the product of two sides. Therefore from the options we have been given, the expressions that shows the area is 30000 yd² is B. x(3x+100)=30000.
This is because our area has been expressed as the product of x and (3x+100), in other words we can assume that the dimension of our rectangle is x yds by (3x+100) yds.