Question

The length of a rectangle is 5 meters longer than the width. If the area is 34 square meters, find the rectangle's dimensions. Round to the nearest tenth of a meter.

Answer 1

Answer:

8.8 meter and 3.8 meter

Step-by-step explanation:

GIVEN: The length of a rectangle is $5$ meters longer than the width. If the area is $34$ square meters.

TO FIND: The rectangle's dimensions.

SOLUTION:

Let the length  of the rectangle be $l$ and breadth be $b$

According to question

$l=5+b$

Area of rectangle $=\text{length}\times\text{breadth}$

putting values,

$=l\times b=(b+5)b=34$

$\implies b^2+5b=34$

$\implies b^2+5b-34=0$

on solving we get

$b=3.8\text{ meter}$

Similarly, $l=8.8\text{ meter}$

Hence the length and breadth of rectangle are 8.8 meter and 3.8 meter respectively.