Question

Marcy’s breakfast table has a square table top with an area of 36 square feet. What is the diagonal length of the table top? how do you solve this i need help

Answer 1

`d=6√(2)\ ft`

Explanation:

step 1

Find the length side of the square

we know that

The area of the square is given by the formula

`A=b^2`

where

b is the length side of the square

we have

`A=36\ ft^2`

substitute

`36=b^2`

solve for b

`b=6\ ft`

step 2

Find the diagonal length of the table top

Let

d ----> the diagonal length of the table top

Applying the Pythagorean Theorem

`d^2=b^2+b^2`

substitute the value of b

`d^2=6^2+6^2`

`d^2=72`

`d=6√(2)\ ft`