Question

The length and breadth of a rectangle are in the ratio 2:3 .Its perimeter is 50cm than Find the area.

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Answer 1

Answer:

The area of the rectangle is 150 cm²

Step-by-step explanation:

The given ratio of the length and breadth is 2:3.

That is, if length (l) = 2x then breadth (b) = 3x

The given perimeter (P) = 50 cm

The perimeter of a rectangle can be found by the following formula,

                    P = 2(l + b)

By substituting,

                      50 = 2(2x + 3x)

                           = 2(5x)

                       50 = 10x

                        $x=\dfrac{50}{10}$

                         x = 5

Therefore,

length of the rectangle = 2 × 5 = 10 cm and breadth = 3 × 5 = 15 cm.

The area of the rectangle can be found by the following formula,

                      A = l × b

By substituting,

                      A = 10 × 15

 Hence the area, A = 150 cm²