Question

The length of the rectangle is 5 cm more than its breadth. If the perimeter of the rectangle is 40 cm

Find the area of the rectangle.​

Answer 1

Answer:

20 cm

Step-by-step explanation:

Let the breadth of the reactangle be x cm.

Then its length = x+5 cm

Perimeter = 2 (length + breadth)

➡️70=2 (x + (x+5))

➡️70/2 = 2x + 5

➡️ 2x = 5 = 35

➡️ 2x =35 - 5 = 30

➡️ x = 30/2 = 15cm

Therefore, breadth = x= 15 cm and length = x + 5 = 15 + 5 = 20cm.

Answer 2

ANSWER :

›»› The Area of rectangle are 93.75 cm².

FIGURE :

$\setlength{\unitlength}{1.5cm}\begin{picture}(8,2)\linethickness{0.4mm}\put(7.7,3){\large\sf{A}}\put(7.4,2){\sf{\large{x cm}}}\put(7.7,1){\large\sf{B}}\put(9.3,0.7){\sf{\large{(x+5) cm}}}\put(11.1,1){\large\sf{C}}\put(11.1,3){\large\sf{D}}\put(8,1){\line(1,0){3}}\put(8,1){\line(0,2){2}}\put(11,1){\line(0,3){2}}\put(8,3){\line(3,0){3}}\end{picture}$

GIVEN :

• The length of the rectangle is 5 cm more than its breadth. If the perimeter of the rectangle is 40 cm.

TO FIND :

• The area of rectangle.

SOLUTION :

❏ Here in this question we have to find the Area of rectangle. So, firstly we need to find the length and breadth of rectangle after that we will find the area of the rectangle on the basis of conditions given above.

Let us assume that, the breadth of rectangle is x cm.

As it is given that, the length of the rectangle is 5 cm more than its breadth.

→ x + 5.

To find the length and breadth of rectangle, we use the formula:-

❰ Perimeter = 2(l + b) ❱

• Perimeter = 40 cm.
• Length = x + 5 cm.
• Breadth = x cm.

According to the given question,

On putting the given values in the formula, we get

⟶ 40 = 2(x + 5 + x)

⟶ 40 = 2(x + x + 5)

⟶ 40 = 2(2x + 5)

⟶ 40 = 4x + 10

⟶ 40 - 10 = 4x

⟶ 30 = 4x

⟶ x = 30/4

⟶ x = 7.5

Therefore,

• Breadth = x = 7.5 cm.
• Length = x + 5 = 7.5 + 5 = 12.5 cm.

Now,

To find area of rectangle, we use the formula:-

❰ Area = length * breadth ❱

• Length = 12.5 cm.
• Breadth = 7.5 cm.

On putting the given values in the formula, we get

⟶ Area = 12.5 * 7.5

⟶ Area = 93.75

Hence, the Area of rectangle are 93.75 cm².