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2 years ago

8

The length of a rectangle is three times its breadth if the breadth is decreased by 2 m and breadth increased by 4 m the area of

the rectangle is decreased by 1/3
a) form a quadratic equation

1 answer:

White raven [17]2 years ago

8 0

Answer:

Let the breadth is x, then the length is 3x.

<u>The area is:</u>

A = lw = 3x*x = 3x²

<u>The breadth is decreased by 2 m: </u>

w = x - 2

<u>The length is increased by 4m: </u>

l = 3x + 4

<u>The area is now:</u>

(x - 2)(3x + 4) = 3x² - 1/3(3x²)
3x² + 4x - 6x - 8 = 2x²
x² - 2x - 8 = 0
x² - 2x + 1 = 9
(x - 1)² = 3²
x - 1 = 3
x = 4

The breadth was 4 m and the length 12 m

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