Question

A square and a rectaglehave equal areas. If each side of a saare is18 cm and the width of a rectangle is 12cm,find the length of the rectangle

Answer 1

Answer:

27cm

Step-by-step explanation:

Sides of square = 18cm

Width of a rectangle = 12cm

Let the the length be x

If Area of square = Area of rectangle

Then, (Sides)^2 = Length*Width

=> 18*18 = 12x

=> 324 = 12x

=> 324/12 = x

=> 27 = x

So, the length of the rectangle is 27 cm

Answer 2

Answer:

• The measure of  length of the rectangle is 27cm

Step-by-step Explanation :

Given:

• A square and a rectangle have equal areas.
• The side of the square measures 18cm
• The idth / breadth of the rectangle is 12cm

To Find:

• The measure of the length of the rectangle

Formulas Used:

• Area of a square = Side × Side
• Area of a rectangle = Length × Breadth

Area of the square will be:

→ Area of the square will be = side × side

→ Area of the square will be = 18cm × 18cm

→ Area of the square will be = 324cm²

Henceforth:

• Area of rectangle will be equal to 324cm²

According to the question:

→ Area of rectangle = Length × Breadth

→ 342cm² = Length × 12cm

→ Length = 342cm² / 12cm

→ Length = 27cm

Therefore:

• The measure of  length of the rectangle is 27cm