Math, asked by palgandhi6a17, 5 days ago

The length and breadth of a rectangular plot are in the ratio 9:5. If its

perimeter is 280, find area.​

Answers

Answered by gudimetlamayukha
2

Answer:

4500 m^2

Step-by-step explanation:

Let x be the ratio

= 9x : 5x

Now with this value we can find x by finding the perimeter

Perimeter = 2(Length + breadth)

280 = 2( 9x + 5x)

280 = 2(14x)

280 = 28x

x = 10

now that we have x lets substitute

Length =  9*10 = 90 m

Breadth = 5*10 = 50 m

Now that we have the original values of length and breadth we can find the area by using the formula

Area = L x B

Area = 90 x 50 = 4500 m^2

Answered by nagh85
1

Answer:

4500 m2

Step-by-step explanation:

given

         length = 9x

         breadth = 5x

         perimeter = 280m

so,

    perimeter formula => 2( l + b )

                                     => 2( 9x + 5x )

                                     => 2( 14x )

                                     => 28x

28x = 280

x = 280/28

x = 10

length = 9x => 9 * 10 => 90m

breadth = 5x => 5*10 => 50m

area of a rectangle = length * breadth

                                 = 90x * 50x

                                 = 4500m2

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