Solveeit Logo

Question

Mathematics Question on Mensuration

The perimeter of a rectangular field is 52 m. If the length of the field is 2 m more than thrice the breadth, then what is the breadth of the field?

A

6.5m

B

6.25m

C

13m

D

6m

Answer

6m

Explanation

Solution

Let the breadth of the field be m and length =(3x+2)(3x+2)m
Perimeter of rectangular field =2[(x)+(3x+2)]=522[(x)+(3x+2)]=52
4x+2=264x+2=26
4x=262=244x=26−2=24
x=244=6x=\frac{24}{4}=6 m
The correct answer is (D) : 6m