An algebra problem by Nada Imam

Algebra Level 1

the length of a rectangle is twice its width . if the length decreases 5 cm . and the width increases 6 cm . the the rectangle becomes a square . find the area of the rectangle

242 266 456 954

Nada Imam by Nada Imam , 26, Egypt

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6 solutions

Sophie Crane
Apr 28, 2014

Let x x be the width of the rectangle and 2 x 2x be the length.

We are given 2 x − 5 = x + 6 2x-5=x+6

2 x = x + 11 2x=x+11

x = 11 x=11

Substitute this in to find the area:

11 × 22 = 242 11 \times 22 = 242

4 Helpful 0 Interesting 0 Brilliant 0 Confused

Hello,

By this, given that length = 2 width,

so let length = 2x , width = x,

stated that to be a square,

length ---> 2x - 5 , width ----> x + 6

since it is a square,

length = side ,

2x - 5 = x + 6

x = 11,

Area of a rectangle = (2x)(x) = 2x^2 =2(11)^2 = 242 cm^2...

Thanks...

1 Helpful 0 Interesting 0 Brilliant 0 Confused

whoah chamba2

1 Helpful 0 Interesting 0 Brilliant 0 Confused
S W
Apr 22, 2014

I did it by back tracking, Area of rectangle would be =2w2 so the answer should √w2 /2 would be answer in given options 452/2=121 and √121=11 hence answer is 452

1 Helpful 0 Interesting 0 Brilliant 0 Confused
Akshay Sonu
May 8, 2014

2 11 11=242 IS the right answer said ,SHERLOCK HOLMES

0 Helpful 0 Interesting 0 Brilliant 0 Confused

Yes. This is easy.

0 Helpful 0 Interesting 0 Brilliant 0 Confused

yea you are 27 I learnt that when I was 10

ja ta - 7 years, 1 month ago

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