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

3

step-by-step explanation:

in standard form:

a= dictionaries

b= maps

you have to buy 3 dictionaries, so put a 3 next to the a (dictionaries) so that you can multiply them by each other.

a3+b= 60 (the amount of money you have)

we already know the cost of a=15 so replace a with $15

($15 x 3)+b=60

multiply 15 and 3 to get $45 and replace it with $45

45+b=60

and then replace b with 15 to get the total:

45+15=60

that means you have $15 left after buying 3 dictionaries.

15 divided by the cost of a map ($5) equals 3.

so you can buy 3 maps.

sorry if it was confusing!