the length of the rectangle is greater than its breadth by 2 cm the area of the rectangle is 24 cm square find its length and breadth
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Answered by
8
Answer:
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Step-by-step explanation:
Let the breadth of the rectangle be ‘x’ cm.
∴ It’s length is (x + 2) cm.
As per the given condition.
∴ Area of rectangle = Length × Breadth
∴ 24 = (x + 2) x
∴ 24 = x2 + 2x
∴ 0 = x2 + 2x – 24
∴ x2 + 2x – 24 = 0
∴ x2 – 4x + 6x – 24 = 0
∴ x (x – 4) + 6(x – 4) = 0
∴ (x – 4) (x + 6) = 0
∴ x – 4 = 0 or x + 6 = 0
∴ x = 4 or x = -6
∴ The breadth of rectangle cannot be negative.
∴ x cannot be negative
∴ x = 4 and
x + 2 = 4 + 2 = 6
∴ The length of rectangle is 6 cm and its breadth is 4 cm.
Answered by
0
Answer:
LET LENGTH = X , AND BREADTH = Y
==> X = Y+2
AREA OF RECTANGLE = LENGTH * BREADTH
==> 24 = X×Y
==> 24 = (Y+2)×Y
==> 24 = Y²+2Y
==> 0 = Y²+2Y-24
==> Y²+6Y-4Y-24 = 0
==> Y(Y+6)-4(Y+6) = 0
==> (Y+6)(Y-4) = 0
==> Y = -6;4
-6 IS NOT POSSIBLE BECAUSE IT IS NEGATIVE
SO, Y = 4
==> BREADTH = 4
LENGTH ===> X = 2+Y ==> 2+4 ==> 6
SO, LENGTH = 6 , BREADTH = 4
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