POP
(ii) The area of a rectangle reduces by 20 m2, if its length is increased by Im and the
breadth is reduced by 2 m. The area increases by 12 m², if the length is reduced
by 3 m and the breadth is increased by 4 m. Find the dimensions of the rectangle.

The dimensions of rectangle are

Length: 15 meters

Breadth: 12 meters

Step-by-step explanation:

Let

x ----> the original length of rectangle

y ---> the original breadth of rectangle

The area of rectangle is

1) The area of a rectangle reduces by 20 m2, if its length is increased by I m and the  breadth is reduced by 2 m

Remember that

substitute

-----> equation A

2) The area increases by 12 m², if the length is reduced  by 3 m and the breadth is increased by 4 m.

Remember that

substitute

-----> equation B

Solve the system of equations A and B by substitution

substitute equation A in equation B

solve for x

Find the value of y

therefore

The dimensions of rectangle are

Length: 15 meters

Breadth: 12 meters

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