Question

The perimeter of a rectangle is 130cm. If the breadth of the rectangle is 30cm, find its length. Also find the area of the rectangle.
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Answer 1

Answer:

let l be x

formula of perimeter =2×(l+b)

130=2×(x+30)

130=2x+60

130-60=2x

70=2x

l=35cm

area =l×b

=35×30

=1050cm^2

Answer 2

GivEn :

• Breadth of Rectangle = 30 cm
• Perimeter of Rectangle = 130 cm

To find :

• Length and area of Rectangle?

Solution :

☯ Let Length of rectangle be x cm.

★ According to the Question:

• Perimeter of Rectangle = 130 cm

We know that,

• Perimeter of Rectangle = 2(length + breadth)

Therefore,

➯ 2(x + 30) = 130

➯ x + 30 = 130/2

➯ x + 30 = 65

➯ x = 65 - 30

➯ x = 35

∴ Thus, Length of rectangle is 35 cm.

⠀━━━━━━━━━━━━━━━━━━━━━━━━━

Now, Finding area of Rectangle,

As we know that,

• Area of rectangle = Length × Breadth

➯ Area = 35 × 30

➯ Area = 1050 cm².

∴ Hence, Area of rectangle is 1050 cm².