Question

the sides of a rectangle are in ratio 4:3 sides of a rectangle are in ratio 4:3. if the perimeter of the rectangle is 210, find its area​

Answer 1

Given:-

• Side of rectangle are in ratio of 4:3.
• Perimeter of rectangle is 210.

To find:-

• Area of rectangle.

Solution:-

Let the length of rectangle be '4x'.

And Breadth of rectangle be '3x'.

We know that,

◆Perimeter of rectangle = 2×(l+b) ◆

In which,

• l is length of rectangle.
• b is breadth of rectangle.

➢ Perimeter of rectangle = 210

Put l and b is formula,

⇒ 2×(4x + 3x) = 210

⇒8x + 6x = 210

⇒14x = 210

⇒x = 210/14

⇒x = 15

➢ Length of rectangle = 4×15 = 60.

➢ Breadth of rectangle = 3×15 = 45.

We also know that,

◆ Area of rectangle = l×b ◆

In which,

• l is length of rectangle.
• b is breadth of rectangle.

So,

⇒60 × 45

⇒ 2700

Therefore,

Area of rectangle is 2700.