Question

The rectangle graphed has a length of 5 and

a width of 4. How does the perimeter
change when the width is decreased by
half?
A The perimeter is decreased by 5.
B The perimeter is decreased by 2.
C The perimeter is decreased by 6.
D The perimeter is decreased by half.
E The perimeter is decreased by 4.

Answer 1

The perimeter is decreased by 4.

Explanation:

If the width of a rectangle with length of 5 and width of 4 is decreased by half, then the new width is 2. The new perimeter of the rectangle is calculated as follows:

old perimeter = 2*(length + width) = 2*(5+4) = 18

new perimeter = 2*(length + new width) = 2*(5+2) = 14

The difference between the old perimeter and the new perimeter is 18 - 14 = 4. Therefore, the answer is (E) The perimeter is decreased by 4.