Question

The area of a rectangle is 102 square inches and the perimeter is the rectangle is 46 inches. Find the length and width

Answer 1

Area=Length*Width
Perimeter=2*(Width+Legth)

Answer 2

23=width+length
length=width-23
102=(width-23)*width

Answer 3

then just calculate

Answer 4

How's you get 23

Answer 5

here is the reasoning

A = length x width

or

A = l x w

Perimeter = 2length + 2 width

so you know

102 = lw

46 = 2l + 2w

simplifying the perimeter by dividing by 2

23 = l + w

rewrite the equation with l as the subject

23 - w = l

now substitute into the area equation

102 = (23 - w)w

you have a quadratic to solve.