Question

The longer side of a rectangle is three times the length of the shorter side each diagonal of rectangle is 22 cm long find the dimension of rectangle.

Answer 1

Answer:

Let the breadth be x

and so, the length = 3x

Diagonal = 22cm

$diagonal \: of \: a \: rectangle \: = \sqrt{ {l}^{2} + {b}^{2} }$

Putting the values,

$22 = \sqrt{ {(3x}^{2)} + {(x})^{2} }$

$22 = \sqrt{ {9x}^{2} + {x}^{2} }$

$22 = \sqrt{ {10x}^{2} }$

$22 \times 22 = {10x}^{2}$

[SQUARING BOTH THE SIDES]

${x}^{2} = 484/10$

$x = \sqrt{48.4}$

$x = 6.95$

Then, 3x = 6.95 x 3 = 17.85

LENGTH = 17.58cm

BREADTH = 6.95CM

Step-by-step explanation:

Hope it helps you.

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