The-area-of-a-rectangle-is-255-m-2-If-its-length-is-decreased-by-1-m-it-becomes-a-square-The-perimeter-of-the-square-is-m-

Question Number 13490 by aamaguestt last updated on 20/May/17

The area of a rectangle is 255 m^{2} . If

its length is decreased by 1 m, it

becomes a square . The perimeter of

the square is____m .

Answered by ajfour last updated on 20/May/17

x (x + 1) = 255

x^{2} + x - 255 = 0

x = \frac{- 1 + \sqrt{1 + 4 (255)}}{2}

p e r i m e t e r o f s q u a r e = 4 x

= (2 \sqrt{1021} - 2) m \approx 61.906 m .

Commented by aamaguestt last updated on 20/May/17

I s l o l v e l i k e t h i s b u t t h e a n s w e r i n t h e a p p l i c a t i o n

i s 64 m .

y

Commented by prakash jain last updated on 20/May/17

I think question meant that length

decreased by 1 with fixed perimeter

so width increases by 1 .

(x - 1) (x + 1) = 255

x^{2} - 1 = 255

x^{2} = 256 \Rightarrow x = 16

4 x = 64

rectangle length = 17, width = 15

rectangle area = 255

Commented by ajfour last updated on 20/May/17

good thought . i dint either like

the answer .

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