Math, asked by sanjeet68, 1 year ago

The length of a Rectangle is 8 m less than thrice its width. If area of the Rectangle is 1675

sq m them find the length and width of the Rectangle.​

Answers

Answered by kartik2507
3

Answer:

length = 67m

width = 25m

Step-by-step explanation:

let the width be x mts

length is 3x - 8

area = 1675 sq mts

(3x - 8)(x) = 1675 \\ 3 {x}^{2}  - 8x = 1675 \\ 3 {x}^{2}  - 8x - 1675 = 0 \\ 3 {x}^{2}  - 75x + 67x - 1675 = 0 \\ 3x(x - 25) + 67(x - 25) = 0 \\ (x - 25)(3x + 67) = 0 \\ x - 25 = 0 \:  \:  \:  \: 3x + 67 = 0 \\ x = 25 \:  \:  \:  \:  \:  \: x =  -  \frac{67}{3}

as width cannot be in negative we take x = 25

width = 25m

length = 3x - 8 = 3×25 - 8= 75 - 8 = 67m

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