Question

perimeter of a rectangle whose sides are in the ratio3:2 is 275m. find it area​

Answer 1

hope it will help you:-)

Answer 2

Answer:

4537.5 cm²

Step-by-step explanation:

Define x:

Ratio of the sides = 3 : 2

Length = 3x

Breadth = 2x

Define the perimeter in term of x:

Perimeter = 2(Length + Breadth)

Perimeter = 2(3x + 2x)

Perimeter = 2(5x)

Perimeter = 10x

Solve x:

Perimeter = 10x

Perimeter = 275 m

10 x = 275 m

x = 27.5 m

Find the length and breadth:

Length = 3x = 3(27.5) = 82.5 cm

Breadth = 2x = 2(27.5) = 55 cm

Find the area:

Area = Length x Breadth

Area = 82.5 x 55 = 4537.5 cm²

Answer:  4537.5 cm²