Question

ut the correct answer in each of the following
1. The sides of a rectangle are in the ratio 7. 5 and it's perimeter is 96cm. The length of
rectangle is
(a) 21 cm
(b) 28 cm​

Answer 1

Given :

⬤ Sides or Rectangle are in ratio 7 : 5 .

⬤ Perimeter of Rectangle is 96 cm .

To Find :

⬤ Length of Rectangle .

Formula Used :

$\sf[\:{Perimeter\:of\:Rectangle=2(l+b)}\:]$

Solution :

Let :

• Length of Rectangle be 7x .
• Breadth of Rectangle be 5x .

According to the Formula :

96 = 2(l + b)

96 = 2(7x + 5x)

96 = 14x + 10x

96 = 24x

96/24 = x

4 = x

Therefore , The Value of x is 4 .

Hence ,

Length of Rectangle = 7x

= 7(4)

= 28

Breadth of Rectangle = 5x

= 5(4)

= 20

Therefore , Length of Rectangle is 28 cm and Breadth of Rectangle is 20 cm .

Option b) is Correct .

Answer 2

Answer:

Question:-

1. The sides of a rectangle are in ratio 7:5. Perimeter is 96 cm.

Answer :-

Step-by-step explanation:

Given in the question:-

• Here two sides of a rectangle is not given but given is the ratio : 7:5
• Perimeter of the rectangle is also given 96 cm

Find out in the question:-

• The length of the perimeter rectangle

Knowledge required :-

• Length is the big side of a rectangle
• Breadth is the smaller side of a rectangle

Formula to be used in the question:-

=》[P = 2 (l+b) ]

Let's do it step by step

• Let the Length of the rectangle be 7 X
• Let the breath of the rectangle be 5 Y

Let's solve it

ATP (According to the problem)

=》P= 2(L+B) [Formula to find out length]

=》96 cm = 2 ( 7x+5x) [ Putting the value and finding solution]

=》96 cm= 2 ×12x

=》96cm = 24x

=》24x=96 cm

=》x = 96/24 cm

=》x = 4

•°• value of X is 4 cm

So, length is 7X

7X =》7×4

=》28 cm

So, breadth is 5X

5X=》5×4

=》20 cm

Quick check ::--

Perimeter =2 (l+b)

=》2 ( 28 + 20 ) cm

=》2 × 48

=》96 cm

Know more!!

FOR A RECTANGLE

• if perimeter is asked so,use formula

1. 2 ( l + b)

• if length is asked so, use the formula

2. L= p/2-B

• if breadth is asked so,use the formula

3. B=P/2-L

FOR A SQUARE

1. Perimeter = 4×(Length of a single side)
2. Length of a side = Perimeter/4