Question

Calculate the breath of the rectangle whose length are in ratio 5:7 and area is 140m².. ​

Answer 1

Correct Question:

Calculate the breath of the rectangle whose length and breadth are in ratio of 5:7 respectively and area is 140m².

Given:

• length and breadth are in ratio of 5:7

• Area of rectangle = 140m²

To find:

• breadth

Let:

• Length = 5x

• Breadth = 7x

Solution:

so to find breadth, we should know value of x

We know:

Area = Length × Breadth

by using this formula we can find value of x

• Area = Length × Breadth

• 140 = 5x × 7x

• 140 = (5 × 7) (x × x)

• 140 = 35 (x × x)

• 140 = 35(x²)

• 140 = 35x²

• 140/35 = x²

Divide numerator and denominator by 7

• 20/5 = x²

Now Divide numerator and denominator by 5

• 4/1 = x²

• x² = 4

• x = √ 4

• x = √(2 × 2)

• x = 2 m

Verification :

• 140 = 5x × 7x

• 140 = (5×2) × (7×2)

• 140 = 10 × 14

• 140/10 ×14 = 1

• 140/140 = 1

• 1 = 1

LHS = RHS

Hence verified!

Value of breadth:

• Breadth = 7x

• Breadth = 7 × 2

• Breadth = 14 m

Happy learning! :)