Question

The blueprint of a rectangular fountain shows that the length will be 7 feet longer than twice it's width. The area of the rectangular fountain is 85 feet​ squared.

Part A
Which equation represents the area of the fountain?

A
(w)(w+7) = 85
B
(w)(2w−7)=85
C
(w+7)(2w)=85
D
(w)(2x+7)=85

Answer 1

D .(w)(2w+7)=85

Explanation:

Hi, to answer this question we have to apply the next formula:

Area of a rectangle: width x length

Since the length will be 7 feet longer than twice its width (w).

So, to obtain the length we have to multiply the width by 2 (twice) and add 7.

Mathematically speaking:

Length: 2w+7

Back with the area formula:

Area of a rectangle: length x width

Replacing with the values given:

85 = w (2w+7)

Note: option D correct equation is D .(w)(2w+7)=85, since we don't have x variables.