Question

The perimeter of the given figure is 18m and the area of rectangular part ACEF is 8 1\2 m sq.Find the length and breadth of the rectangular part.​

Answer 1

Answer:

The length of the rectangle = 5.7 m

The breadth of the rectangle = 1.5 m

Step-by-step explanation:

In the figure, the measurement of all sides is given except the side EF which is the length of the rectangle ACEF. We know that the perimeter is the sum of all sides.

The given perimeter of the figure = 18 m

Therefore,

    the length EF = 18 - (1.5 + 2.5 + 3.67 + 1.25 + 1.67 + 1.75)

                       = 18 - 12.3

                       = 5.7 m

The fraction is converted to decimal to do the calculation easily.

The given area of the rectangle = 8.5 m

The formula to find the area if a rectangle is given as,

          A = lb

Where 'l' is the length of the rectangle and 'b' is the breadth.

By substituting,

  ⇒     8.5 = 5.7 × b

          b = 8.5 ÷ 5.7

             = 1.5 m

Hence the length and breadth of the rectangle ACEF are 5.7 m  and 1.5 m respectively.

Answer 2

Answer:

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Step-by-step explanation:

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