Question

length and breadth of a rectangular Park are in the ratio 4 : 3 and its perimeter is 56 M the area of the field is

Answer 1

Answer:

Step-by-step explanation:

Let the length and breadth be 4x and 3x

Perimeter=56m

Perimeter of rectangle= 2(l+b)

56=2(4x+3x)

56=2(7x)

56=14x

X=56/14

x=4

Length =4x= 4*4=16m

Breadth=3x=3*4=12m

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Answer 2

Area of the rectangular park is 192 sq. m.

• The length and breadth of the rectangular park is in the ratio 4:3.

• Let the common multiple be x.

• Therefore,

length = 4x and breadth = 3x.

• Perimeter of the rectangular park is 56 m.

• Now the perimeter of the rectangle is given by

Perimeter = 2 (Length  + Breadth)

56 = 2 (4x + 3x)

28 = 7x

x = 4

• Therefore,

Length of the rectangular park is 4x = 16m and breadth is 3x = 12m

• Area of the rectangle is given by length × breadth.

Area = 16 × 12 = 192 sq. m.