Question

The perimeter of a rectangle is 176 feet. The ratio of the width to the length is 3:5. Find the area of the rectangle.

Answer 1

Area of the rectangle =
`1815\,feet^2`

Explanation:

Perimeter of the rectangle=
`176\,feet`

Ratio of the width to length is :

`(W)/(L) =(3)/(5)\\`

Therefore ,

`L=(5W)/(3)`

Perimeter of a rectangle=
`2(Length+Width)`

`176=2((5W)/(3)+W )\\\\(176)/(2) = (5W)/(3)+W \\\\88=(5W+3W)/(3) \\\\ 88=(8W)/(3)\\\\ (W)/(3)=(88)/(8)\\\\ (W)/(3)=11\\\\ W=11*3\\\\W=33\,feet`

As.

`L=(5W)/(3)`

`L=(5*33)/(3) \\\\L=55\,feet`

Area of a rectangle=
`Length* Width`

`=55*33\\\\=1815\,feet^2`

Area of the rectangle =
`1815\,feet^2`