Question

A pair of adjacent sides of a rectangle are the ratio 3 ratio 4 if the diagonal is 20 cm find the length of the side and hence the perimeter of the rectangle

Answer 1

Answer:

Perimeter= 56cm

Step-by-step explanation:

If we cut the rectangle by its diagonal, we get a right angle triangle.

the sides are in the ratio 3:4

∴ (3x)² + (4x)² = 20²

    9x² + 16x² = 400

        x²(9+16) = 400

             25x² = 400

                  x² = 400/25

                    x = √400/25

                    x = 20/5

                    x = 4

∴Length of the rectangle = 4x = 4x4 = 16cm

 Breadth of the rectangle = 3x = 3x4 = 12cm

Perimeter = 2(l+b) = 2(16+12) = 56cm

Answer 2

Step-by-step explanation:

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