length of a rectangle is 5 cm more than its breadth. if the area of rectangle is 50cm square,then find the length of rectangle?
Answers
Answered by
6
its simple, take b=x and l=x+5 so if u calculate the length of rectangle will b 10 cm
Answered by
7
Answer:
The length of the rectangle be 10 cm .
Step-by-step explanation:
Formula
Area of a rectangle = Length × Breadth
As given
length of a rectangle is 5 cm more than its breadth.
Let us assume that the breadth be x .
Than
Length becomes = 5 + x
Putting values in the above
50 = x × (5+x)
50 = x² + 5x
x² + 5x - 50 = 0
x² + 10x - 5x - 50 = 0
x (x + 10) -5 (x+ 10) = 0
(x +10)(x-5) = 0
x = 5 and x = -10
(As the breadth sides of the rectangle cannot be negative .
Thus ignore x = -10 )
Take x = 5
Length = x + 5
= 5 + 5
= 10 cm
Therefore the length of the rectangle be 10 cm .
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