Question

 The adjacent sides of a rectangle are in the ratio 5 : 3 and the area of the rectangle is 735 sq. cm . The length of rectangle _______ cm.

1) 7

2) 4.2

3) 5.6

4) 35
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Answer 1

Answer:

Adjacent sides of the rectangle are nothing but its length and the breadth.

Let the length of the rectangle =5a cm and breadth =3a cm.

Area of the rectangle =l×b=29.4cm

2

⇒5a×3a=29.4

⇒a

2

=

5×3

29.4

=1.96

a=

1.96

=1.4

Hence, the length of the rectangle =5a=7cm and breadth =3a=4.2cm.

Answer 2

Given,

The size of the adjacent sides of a rectangle is in the ratio of 5:3 .

The area of the rectangle is 735 sq. cm.

To Find,

The length of the rectangle.

Given,

The size of the adjacent sides of a rectangle is in the ratio of 5:3 .

This means the ratio of length and width of the rectangle is 5:3 .

Suppose the length of the rectangle is 5x and the width is 3x.

So the area will be =5x×3x=15$x^{2}$.

Hence, 15$x^{2}$=735.

⇒$x^{2}$=$\frac{735}{15}$

⇒$x^{2}$=49.

⇒x=7.

the length of the rectangle is 5x =5×7=35 cm.

Hence,  The length of the rectangle is 35 cm.