Question

In a rectangle length is 3 cm more than breadth. The area of the rectangle is 324 sq.cm. If the breadth is taken as 'x', what will be the length?. Write the area of this rectangle as an algebraic equation. Find the length and breadth of the rectangle ​

Answer 1

Answer:

Explanation:

Given :

• A rectangle length is 3cm more than breadth.
• The area of the rectangle is 324 cm².

To Find :

• The length and breadth of the rectangle.

Solution :

Let, breadth of a rectangle be "x".

Given, A rectangle length is 3cm more than breadth.

=> l = x + 3

According to the question,

Area of rectangle = l × b

=> 324 = (x + 3) × x

=> 324 = x² + 3x

=> x² + 3x - 324 = 0

=> x = -3 ± √3² - 4 × 1 × -324/2 × 1

=> x = -3 ± √1305/2

=> x = -3 ± 3√145/2

=> x = -3 + 3√145/2 & x = -3 - 3√145/2

=> x = 16.5 & x = -19.5

[ Note : Ignoring negative term ]

=> x = 16.5

So,

• Length = x + 3 = 16.5 + 3 = 19.5 cm
• Breadth = x = 16.5 cm

Hence :

The length and breadth of a rectangle is 19.5 cm and 16.5 cm respectively.