Question

Emma's square patio below has been area=31 sq ft. She decides to decrease one dimension by 1 foot and decreases the other dimension by 4 feet. DO NOT USE DECIMAL APPROXIMATIONS. What are the dimensions? ​

Answer 1

4.57ft by 1.57 ft

Explanation:

We are given that

Emma's square patio has been area=31 sq.ft

One dimension decrease by 1 foot and other dimension decrease by 4 feet.

We have to find the new dimensions of Emma's patio.

Let x be the side of Emma's square patio

We know that

Area of square=
`x^2`

`x^2=31`

`x=√(31)=5.57` ft

One dimension=
`5.57-1=4.57` ft

other dimension=
`5.57-4=1.57 ft`

Hence, the new dimension of Emma's patio is given by

4.57ft by 1.57 ft