Question

The length of a rectangle is 8m less than thrice it's width.If area of the rectangle is 1675 SQ then find the length and width of the rectangle

Answer 1

hopefully this answer will help you out...thanq

Answer 2

Answer:

Length is 67 meters and the width is 25 meters.

Step-by-step explanation:

Let the length of the rectangle is x and the width is y.

Then, we have

x = 3y - 8........(1)

The area of the rectangle is 1675 square meters. Hence,

$1675=xy$

From equation 1

$1675=(3y-8)y\\1675=3y^2-8y\\3y^2-8y-1675=0\\y=\frac{-\left(-8\right)\pm \sqrt{\left(-8\right)^2-4\cdot \:3\left(-1675\right)}}{2\cdot \:3}\\\\y=\frac{8\pm\sqrt{20164}}{6}\\\\y=\frac{8\pm142}{6}\\\\y=25,-\frac{67}{3}$

width cannot be negative. Hence, we have

y = 25

x = 3(25)-8 = 67

Thus, length is 67 meters and the width is 25 meters.