Question

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

Answer 1

Answer:

w(w+3)= 70

Step-by-step 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.

Answer 2

Rectangle formula:

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