Question

The perimeter of rectangle is 326cm and its length is 98. Find the breadth and area.​

Answer 1

Answer:

Breadth = 65 units

Area = 6370 sq.units

Answer 2

Given :-

• Perimeter of a rectangle = 326cm
• Length of the rectangle = 98cm

Aim :-

• To find the breadth and area of the rectangle.

Formula to use :-

• Perimeter of a rectangle = 2(Length + Breadth)
• Area of a rectangle = Length × Breadth.

Perimeter :-

In order to find the breadth of the rectangle, let us substitute the given values in the equation.

• Let Breadth be x

Forming the equation,

326 = 2(98+x)

Transposing 2 to the other side,

$\dfrac{326}{2} = 98 + x$

Reducing to the lowest terms,

$\implies \: 163 = 98 + x$

Transposing 98,

$\implies \: 163 - 98 = x$

$\implies65 = x$

Hence breadth = 65cm

Verification :-

Before finding the area of the rectangle, let us verify the value of breadth by substituting it in the equation.

326 = 2(98+65)

326 = 2(163)

When multiplied the product is the same as the LHS (Left Hand Side),

LHS = RHS

Therefore Verified.

Area :-

$\sf{Area = Length \times Breadth}$

Substituting the values,

$\sf{Area = 98 \times 65}$

$\implies6370 {cm}^{2}$

Therefore the area of the rectangle is 6370cm²

Some more formulas :-

• Area of a triangle = ½ × Base × Height
• Area of a square = (side)²
• Area of a rectangle = Length × Breadth
• Area of a parallelogram = Base × Height
• Area of a rhombus = ½ × Diagonal 1 × Diagonal 2
• Area of a trapezium = ½ × Height × (Sum of parallel sides)