The length of a rectangle is 5 times its width. If the length is decreased by 3 meters, and the width is increased by 10 meters, the perimeter will be 374 meters. Find the length of the original rectangle in

meters

the length of the original rectangle iS 150 meters

Step-by-step explanation:

Step 1

let the Original width be represented as  x

and The original  length of a rectangle which is 5 times its width be 5x

The new dimension will now be

 width = x+10 and  

length= 5x-3

STEP 2

We Know that Perimeter of a rectangle = 2L+ 2W = 2(L+W)

therefore  

2 X ( X+ 10+ 5X-3)=374

2( 6X-7) = 374

12x-14 = 374

12X = 360

X= 360/ 12

X= 30 meters Width

So the length = 5x= 5x 30 = 150meters

the length of the original rectangle iS 150 meters and width, 30meters

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step-by-step explanation: