Question

PLS HELP!

Alexis has a rectangular backyard that is 50 yards by 55 yards. She wants to build a
fence that stretches diagonally from one corner to the opposite corner. About how
many yards of fencing will Alexis need? Round to the nearest tenth.

Answer 1

Given:

Alexis has a rectangular backyard that is 50 yards by 55 yards.

She wants to build a fence that stretches diagonally from one corner to the opposite corner.

To find:

The length of the fencing she needs.

Solution:

We have,

Length = 50 yards

Width = 55 yards

We know that, the diagonal of a rectangle is

`Diagonal=√(length^2+width^2)`

`Diagonal=√((50)^2+(55)^2)`

`Diagonal=√(2500+3025)`

`Diagonal=√(5525 )`

On further simplification, we get

`Diagonal=74.3303437`

`Diagonal\approx 74.3`

Therefore, the length of the required fencing is 74.3 yards.