Question

Q13) Adjacent sides of a rectangle are in the ratio 3: 4. If the perimeter
of the rectangle is 28 cm, find the length of the diagonal.
Q14) The area of a square playground is 1056.25 square meters. Find
the length of the side of the square playground.

Answer 1

Answer:

Q..A pair of adjacent sides of a rectangular and in the ratio 3:4. If its diagonals is 20 cm find the lengths of sides and hence the perimeter of the rectangle.

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A pair of adjacent sides of a rectangular and in the ratio 3:4. If its diagonals is 20 cm find the lengths of sides and hence the perimeter of the rectangle.

Medium

Solution

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Let ratio be x.

b=3x

l=4x

inΔABC

∠B=90

∘

so,AB=4x

BC=x

AC=20

h

2

=p

2

=b

2

(AC)

2

=(AB)

2

+(BC)

2

(20)

2

=(4x)

2

+(3x)

2

400=16x

2

+9x

3

400=25x

2

25

400

=x

2

16=x

2

x=4

b=4x=3×4=12

l=4x=4×4=16

Area=l×b=12×16=192cm

P=2(l+b)=2(12+16)=56m

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