Question

A pair of adjacent sides of a rectangle are in the ratio 3:4.If its diagonal is 20 cm,find the lenghts of the sifes and hence,the perimeter of the rectangle.

Answer 1

Let length of rectangle be 4x and breadth be 3x according to ratio 3:4.
Length of diagonal d=20cm

$d {}^{2} = l {}^{2} + b {}^{2}$
$20 {}^{2} = 16x {}^{2} + 9x {}^{2}$
$400 = 25x {}^{2}$
$x = 4$
Therefore length of sides are :
3x= 3×4
=12 cm
4x= 4×4
=16cm
Perimeter =2l + 2b
=2×16 +2×12
=56cm.

Answer 2

Answer:

*d=ĺ²+b²

20²=16x²+9x²

400=25x²

x=4

: 3x= 3×4

=12 cm

4x=4×4

=16cm

PERIMETER =2L+2B=2×16+2×12

= 56 CM

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