Question

The width of a rectangular house is 22 feet. What is the perimeter of this house if it has the same area as a house that is 33 ft wide and 50 ft long

1) 184 feet
2) 200 feet
3) 194 feet
4) 206 feet

Answer 1

3) P = 194 ft.

Explanation:

`A=wl`

`(30)(50)=22l`

`1650=22l`

`l=1650/22=75`

the dimensions of the house are: (22 × 75)

Perimeter:

`p=2(22)+2(75)=44+150=194`

Hope this helps

Answer 2

3) 194 feet

Explanation:

The other house:

"a house that is 33 ft wide and 50 ft long"

area = LW = (33 ft)(50 ft) = 1650 ft²

This house:

LW = A

L × 22 ft = 1650 ft²

L = 75 ft

P = 2(L + W)

P = 2(75 ft + 22 ft)

P = 194 ft

Answer: 3) 194 feet