Question

The perimeter of a rectangle is 180 cm. If the sides are in the ratio 4:5, find the
lengths of the four sides and the two diagonals.
18.​

Answer 1

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Answer 2

Answer:

Calculation of length of Sides and Diagonals.

Step-by-step explanation:

Given: Perimeter of Rectangle =140cm

Ratio of sides =3:4, so let length=4x, breadth=3x

Perimeter of Rectangle =2(l+b)

                                ∴ 2(4x+3x)=140

                                        7x=70

                                          x=10

                          ∴length=40, breadth=30

∴ sides of rectangle =30cm,40cm

                Diagonal of Rectangle =  $\sqrt{l^{2} +b^{2}}$ (by pythagoras theorem)

                          = $\sqrt{30^{2} +40^{2}}$

                          =  $\sqrt{2500}$

​                    =50cm