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? ​

Respuesta :

Answer:

4.57ft  by 1.57 ft

Step-by-step 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=[tex]x^2[/tex]

[tex]x^2=31[/tex]

[tex]x=\sqrt{31}=5.57[/tex] ft

One dimension=[tex]5.57-1=4.57[/tex] ft

other dimension=[tex]5.57-4=1.57 ft [/tex]

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

4.57ft  by 1.57 ft

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