Question

the length of a hall exceeds its breadth by 8cm and its area is 180m^2, find breadth and length?

Answer 1

Given :

• Breadth of hall = x cm
• Length of hall = x+8 cm

☯ The length of a hall exceeds its breadth by 8cm

To find :

• Area of hall

Solution :

• Hall is a rectangle,
• So, area of rectangle = Length × Breadth
• x (x+8) = 180
• x² + 8 = 180
• x² + 8 - 180 = 0        (Factorize)
• x² + 18x - 10x - 180 = 0
• x (x + 18) - 10 (x + 18) = 0
• (x + 18) (x - 10) = 0
• x + 18 = 0  x - 10 = 0
• x = 18 x = 10

☯ Breadth of the hall = 10m

☯ Length of the hall = 18m

Verify :

• Length × Breadth = Area
• 18m × 10m = 180m²
• 180m² = 180m²

Answer 2

Answer:

Length × Breadth = Area

18m × 10m = 180m²

180m² = 180m²

Step-by-step explanation: