Question

the length and breadth of rectangular park in the ratio 5:3 and it's perimeter is 128 m Find the area of park ​

Answer 1

Answer:

here

Step-by-step explanation:

Let the common factor be x

The ration of l:b=5;3

So the length is 5x

The breadth is 3x

The perimeter is 2(l+b)=128

5x+3x=64

8x=64

x=8

So the length is 5(8)=40

The breadth is 3(8)=24

The area is 40×24=960cm

2

Answer 2

ANSWER :-

• Area of rectangular park is 960m².

GIVEN :-

• Lenthg and Breadth of a rectangular park is in ratio 5:3.
• Perimeter of the rectangular park is 128m.

TO FIND :-

• Area of the rectangular park.

TO KNOW :-

★ Perimeter of rectangle = 2 ( l + b )

★ Area of rectangle = l × b

Here ,

• l is length of rectangular park.
• b is breadth of rectangular park.

SOLUTION :-

Let the length and breadth of the rectangular park be 5x and 3x respectively as ratio is 5:3.

And Perimeter of rectangular park is 128m.

We know ,

Perimeter = 2 ( l + b )

Putting values ,

→ 128 = 2 ( 5x + 3x )

→ 128 = 2 ( 8x )

→ 128 = 16x

→ x = 128/16

→ x = 8

Hence ,

• Length = 5x = 5(8) = 40m
• Breadth = 3x = 3(8) = 24m

Hence , length is 40m and breadth is 24m.

Now ,

→ Area of rectangular park = l × b

→ Area of rectangular park = 40 × 24

→ Area of rectangular park = 960m²

Hence , area of rectangular park is 960m².

MORE TO KNOW :-

★ Perimeter of square = 4 × side

★ Area of square = side²

★ Circumference of circle = 2πr

★ Area of circle = πr²