Question

Judi is making a frame for a square painting. The square painting is 11 3/8 inches on each side. To make sure that she has enough wood Judi wants to buy two extra inches of wood for each corner. How much wood shoul Judi buy?

Answer 1

`53(1)/(2)\ in`

Explanation:

we know that

The perimeter of a square is equal to

`P=4a`

where

a is the length side of the square

in this problem we have

`a=11(3)/(8)\ in`

convert to an improper fraction

`11(3)/(8)\ in=(11*8+3)/(8)=(91)/(8)\ in`

Find the perimeter of the square

`P=4(91)/(8)=45.5\ in`

Remember to adds two extra inches for each corner

so

The wood needed is

`45.5\ in+2*4\ in= 53.5\ in`

convert to mixed number

`53.5\ in=53(1)/(2)\ in`