Question

A carpet measures 7 Feet long and has a diagonal measurement of sqrt (74) Feet. Find the width of the carpet.

Answer 1

Step-by-step explanation:

In a rectangle

diagonal^2=length^2+width^2

width^2=74-7^2

width^2=74-49=25

width=5

Answer 2

By Pythagorean theorem,

${l}^{2} + {b}^{2} = {diagonal}^{2}$

7² + b² = (√74)²

49 + b² = 74

b² = 25

b = √25

b = ±5

since it's breadth, therefore,

b = 5 feet