The area of rectangle is 400 cm2. If the length is 15%more than the breadth.what is the breadth of rectangle.
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The area of rectangle is 400 cm2. If the length is 15%more than the breadth.what is the breadth of rectangle.
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Solution
Given :-
Find :-
Explanation
Using Formula
Let
According to question
Case 1.
==> Area of rectangle = 400
==> Length . Breadth = 400
==> x.y = 400____________(1)
Case 2.
==> x = 15 × y/100 + y
==> x = 3y/20 + y
==> x = (3y + 20y)/20
==> 20x - 23y = 0____________(2)
by equ(1)
==> y = 400/x_____________(3)
Now, by equ(2)
==> 20x - 23 × 400/x = 0
==> 20x² - 9200 = 0
==> 20x² = 9200
==> x² = 9200/20
==> x² = 460
==> x = √460
==> x = 21.5
Now, keep in equ(3)
==> y = 400/21.5
==> y = 18.6
Hence
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