Question

You have a fancy 2nd-floor room and need a new mattress. You need to bring your mattress in through the french doors on your balcony. Your french doors of the dimensions of 72 inches by 80 inches. What is the largest mattress that can fit diagonally? Round to the nearest tenth.

Answer 1

Here is your answer

$\bold{107.62} inches$

Since the door will be in shape of a rectangle where,

length= 80 inches

breadth= 72 inches

So,

widht of largest mattress that can fit diagonally is diagonal of the door.

i.e.

$d= \sqrt{{l}^{2}+{b}^{2}}$

$d= \sqrt{{80}^{2}+{72}^{2}}$

$d= \sqrt{6400+5184}$

$d= \sqrt{11584}$

$d= 107.62$

HOPE IT IS USEFUL