Question

the width of a rectangle is 4 inches greater than half the length. The perimeter is 56 inches. Find the length and width of the rectangle

Answer 1

Respuesta:

Length = 16 in

Width = 12 in

Explicación paso a paso:

The perimeter formula is

2b + 2h = P

If  "b" is the literal for the length

Then

h = width = 1/2 b + 4

sustitution

2b + 2( 1/2 b + 4 ) = 56

2b + 2/2 b + 8 = 56

2b + b = 56 - 8

3b = 48

b = 48/3

b = 16 inches ( length of the rectangle )

we now calculate the width

h = 16/2 + 4

h = 8 + 4

h = 12 inches