Question

The area of a rectangle is 70 in² and the length of the rectangle is 3 in. longer than the width.

The area of a rectangle is found by multiplying the length times the width.

During the Set Up step of the five-step problem-solving plan, which equation would you set up to solve for the width?

 

w + 3 = 70



w(w+3)=70

3 w  = 70

w + 3w = 70

Answer 1

Rectangle formula:

W.L = rectangle area
W.(w+3) = 70

Answer 2

w(w+3)= 70

Explanation:

Hello

According to the question.

the area is 70 square inches, this means

`A=length *width\\A=\ 70\ square\ inches\\70=length *width`

the length of the rectangle is 3 inch longer than the width

this means that you can take the width and add 3 inches to obtain the length or take the length and subtract 3 inch from it to obtain the width

(1)length = width +3

or

(2)length - 3 = width

now replacing (1) in the area equation

A=length*wide

A=(width +3)*wide

also

A=70 square inches

hence

(width +3)*wide=70

Let

width = w

rewriting

(w+3)*w=70

w(w+3)= 70

I hope it helps, have a great day.