The length of a given rectangle exceeds its breadth by 4 cm . If the length and breadth are each increased by 3 cm then the area of new rectangle will be 81 sq cm MORE THAN THAT OF the of the given rectangle . Find the length and breadth of the given rectangle .
Answers
Answer:
Step-by-step explanation:
Given that the length of a rectangle exceeds its breadth by 4 cm .if length and breadth are each is increased by 3 cm , the area of the new rectangle is 81 square cm more than the given rectangle.
we have to find the length and breadth of rectangle.
Let the breadth of rectangle be x cm
∴ The length is x+4
Now, length and breadth are each is increased by 3 cm
New length=(x+4)+3=x+7
New breadth=x+3
As the area of the new rectangle is 81 square cm more than the given rectangle.
⇒
∴
The length and breadth are 14 cm and 10 cm
Answer:
The length is 14cm and the breadth is 10cm
Step-by-step explanation:
let the breadth be x cm
the lenght is therefore, (x+4) cm and the area is x(x+4) cm^2
given, (x+3)(x+7) = x(x+4) +81
= x^2 + 10x + 21 = x^2 + 4x + 81
= 10x + 21 = 4x + 81
= 10x - 4x = 81 -21
= 6x = 60 = x=10
so b = 10cm and l = 10+4 =14cm
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