The length of a rectangle is 5 inches more than three times the width. The perimeter is 64 inches. Find the length and width.

L=25.25 in

W= 6.75in

Step-by-step explanation:

Step one

Given data

Let the width be x

W= x

and length

L= 3x+5

Perimeter= 64 in

Step two:

we want to find the dimension of the rectangle

We know that perimeter is

P= 2W+2L

64= 2*x+2*(3x+5)

64= 2x+6x+10

collect like terms

64-10=8x

54= 8x

divide both sides by 8

x= 54/8

x= 6.75in

We know that the length is

L= 3x+5

L= 3*6.75+5

L= 20.25+5

L=25.25 in

step-by-step explanation:

no, her answer is not correct.   we square the lengths of all sides and then determine whether the pythagorean theorem holds here:

9² + 15² = 306.   this is not equal to the square of the longest side ( that square being 395.   answer c is correct.

2(2x + 3) = -4 + 2(2x + 5)

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 6

4x - 6 + 6 = 4x - 6 + 6

4x = 4x

x = x

unlimited solutions.