Question

The two rectangles shown below have the same
perimeter. Write and solve an equation to find the value of x. Then find the measures of the length and width of
Rectangle B. All measurements are in inches.

Answer 1

9514 1404 393

Answer:

• x = 3
• length = 9
• width = 3

Step-by-step explanation:

The sum of length and width is half the perimeter. If the perimeter is the same, so will be the sum of length and width:

  7 + 5 = x + (4x -3)

  15 = 5x . . . . . . . add 3, simplify

  3 = x

The value of x is 3.

The length of Rectangle B is 4(3)-3 = 9 inches.

The width of Rectangle B is 3 inches.