The perimeter of a rectangle is 360m. if it's length is decreased by 20% and it's breadth is increased by 25%, we get the same perimeter. find the dimensions of the rectangle.

the length of the rectangle is 100m

the width of the rectangle is 80m

Step-by-step explanation:

Let L represent the length of the rectangle.

Let W represent the width of the rectangle.

The formula for determining the perimeter of a rectangle is expressed as

Perimeter = 2(L + B)

The perimeter of a rectangle is 360m. This means that

2(L + B) = 360

L + B = 180 - - - - - - - - - -1

If it's length is decreased by 20%, its new length would be

L - 0.2L = 0.8L

it's breadth is increased by 25%, it means that the new breadth

B + 0.25B = 1.25B

Since the perimeter remains the same,

2(0.8L + 1.25B) = 360

0.8L + 1.25B = 180 - - - - - - - - -2

Substituting L = 180 - B into equation 2, it becomes

0.8(180 - B) + 1.25B = 180

144 - 0.8B + 1.25B = 180

- 0.8B + 1.25B = 180 - 144

0.45B = 36

B = 36/0.45 = 80

L = 180 - B = 180 - 80

L = 100

step-by-step explanation:

jml angle lkj & angle mj = lm