Answer:
Area = 91 square inches
Explanation:
Let
L = length of the rectangle in inches
W = width of rectangle in inches
We are given:
The length of a rectangle is one inch less than twice the width
In math terms this is equivalent to:
L = 2W - 1
he perimeter of the rectangle is 40 in.
The perimeter of the rectangle = 2(L+ W)
So in math terms;
2(L + W) = 40
L + W = 40/2
L + W = 20
Since L = 2W - 1 we can substitute for L in terms of W in the above equation:
L + W = 2W - 1 + W = 3W - 1
Equating it to 20 gives
3W - 1 = 20
Add 1 both sides:
3W = 21
W = 7
Which gives
L = 2W - 1 = 2(7) - 1 = 14 - 1 = 13
So L = 13
The area of the rectangle = L x W
= 13 x 7
= 91 square inches