If the perimeter of a rectangular garden plot is 40 feet and its area

Question

If the perimeter of a rectangular garden plot is 40 feet and its area is 84 square feet, what is the length of one of the longer sides?

A. 6
B. 12
C. 14
D. 24
E. 28

Shrey9 · Answer

2(L+B)=40 given 1
L*B=84 given 2

From 1
L+B=40/2
L+B=20
14 & 4 fit, both the equations, therefore 14 is the answer
Option (c)

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Chethan92 · Answer

Perimeter of a rectangle = 2(L+W)

Given 2(L+W) = 40

Then L+W = 20.

Also Given, LW = 84

Only possible pair which satisfies the above criteria is (14,4)

C is the answer.

Abhishek009 · Answer

There exists a shortcut formula -

P=2l+\frac{2A}{l}   { Where P = Perimeter , A = Area & l = Length }

So,  40 = 2l + \frac{84}{l}

Now, check using options, Answer must be (C) 14

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