SOLUTION: The perimeter of a rectangle is 32 feet. The length is three times the width. Finf the diagonal. Round to the nearest tenth.

Question 522115: The perimeter of a rectangle is 32 feet. The length is three times the width. Finf the diagonal. Round to the nearest tenth.
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
The perimeter of a rectangle is 32 feet. The length is three times the width. Finf the diagonal. Round to the nearest tenth.
.
Let w = width
then
3w = length
.
Because we know the perimeter:
32 = 2(w + 3w)
32 = 2(4w)
16 = 4w
4 feet = w (width)
.
Length:
3w = 3(4) = 12 feet
.
Diagonal, we use the pythagorean theorem:
Let d = diagonal
then
d^2 = 4^2 + 12^2
d^2 = 16 + 144
d^2 = 160
d = 12.6 feet

RELATED QUESTIONS
The perimeter of a rectangle is 32 feet. The length is three times the width. Find the... (answered by mananth)

The perimeter of a rectangle is 66 centimeters. The length is twice the width. Find the (answered by josgarithmetic)

the length of a rectangle is 4 feet more than the width. the area of the rectangle is 32... (answered by ewatrrr)

For arectanglar garden, the length is 12 ft and the width is 7 feet. Find the length of... (answered by checkley77)

the perimeter of a rectangle is 46 ft the width is 3ft less than twice the length finf... (answered by MathLover1)

The length of a rectangle is 2 m less than the diagonal and the width is 8 m less than... (answered by lwsshak3)

The length of a rectangle is 3 m less than the diagonal and the width is 8 m less than... (answered by lwsshak3)

the perimeter of a square is 20 centimeter. Find the length of a diagonal. Round answer... (answered by texttutoring,richwmiller)

A rectangle is a parallelogram with four right angles. A rectangle has a width of 15 feet (answered by jojo14344)