Question

RAPH The perimeter of a rectangular plot is 32m. If the length is increased 2m and the breadth is decreased by lm, the area of the plot remains the same. Find the length and breadth of the plot graphically.show it on graph paper
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Answer 1

Answer:

length= 10m breadth=6m

Step-by-step explanation:

Perimeter=2l+2b

32=2l+2b

If area is length x breadth and the two areas are equal then

lxb=(l+2)(b-1)

lxb=lxb-l+2b-2

-l+2b=2

Now there is two simultaneous equations in 2=-l+2b and 32=2l+2b.

If we take the first equation from the second we end with 3l=30.

This means the length is 10m.

If 32=2l+2b and l=10 then 2b=12 and b=6.

Hope this helps.