Question

the length of a rectangle is six inches more than width, if the preimeter of the rectangle is 24 inches find the length

Answer 1

Length = 9 inches

Explanation:

The perimeter of a rectangle is:

perimeter = 2(length + width)

24 = 2(a+b)

a = b + 6

a = length

b = width

then:

24 = 2((b+6)+b)

24/2 = b+6+b

12 = 2b + 6

12-6 = 2b

6 = 2b

b = 6/2

b = 3 inches

a = b+6

a = 3+6

a = 9 inches

Check:

24 = 2(9+3)

24 = 2*12