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

Answer:

$d=6\sqrt{2}\ ft$

Step-by-step 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

$d^2=6^2+6^2$

$d^2=72$

$d=6\sqrt{2}\ ft$