Question

PAGE: 1 The length of o of a rectangle is twice its breath If its perimetre is 1.5 m. Find its length, breadth and area.
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Answer 1

Answer:

Length of the rectangle = 50 cm

Breadth of the rectangle = 25 cm

Area of the rectangle = 1250 cm²

Step-by-step explanation:

The given length of the rectangle is twice its breadth.

And the given perimeter (P) = 1.5 m = 1.5 × 100 = 150 cm

Let the breadth (b) be 'x'

Then the length (l) = 2x

The perimeter of a rectangle is 2 times the sum of the length and breadth. That is,

                P = 2(l + b)

By substituting,

              150 = 2(2x + x)

                    = 2(3x)

                     = 6x

                  $x=\dfrac{150}{6}$

 Therefore, breadth,  x = 25 cm and length,  2x = 50 cm

The area (A) of a rectangle can be found by the following formula,

              A = l × b

 By substituting,

              A = 25 × 50

              A = 1250 cm²

Hence the length, breadth, and area of the rectangle are 50 cm, 25 cm, and 1250 cm² respectively.