Question

If the length of a rectangular field is 12ft less than 6 times it’s width, and perimeter is 158.

Answer 1

Answer:

Therefore the Dimensions of Rectangular field are

$Length=66\ feet\\Width=13\ feet$

Step-by-step explanation:

Given:

Let the length of the Rectangular field be ' L '

and Width be 'W'

According to given Condition

$L=6W-12$

Perimeter = 158 ft

To Find:

L = ?

W = ?

Solution:

Perimeter of Rectangle is given as

$Perimeter=2\times L+2\times W$

Substitute 'L' and Perimeter we get

$158=2\times (6W-12)+2W=12W-24+2W\\\\14W=158+24=182\\\\W=\dfrac{182}{14}=13\ feet$

Substitute 'W' in L we get

$L=6\times 13-12=66$

Therefore the Dimensions of Rectangular field are

$Length=66\ feet\\Width=13\ feet$