Question

The length and breadth of a rectangular field is in the ratio 3:4. It's area is 6912 sq.cm. Find it's dimensions.

Show the whole step- by- step process!!

Answer 1

Answer:

72 cm and 96 cm.

Step-by-step explanation:

Let length and breadth be 3x and 4x.

Area =  L * B

3x * 4x = 6912

12x² = 6912

x² = 576

x = 24

Substitute value of x back length = 3x and breadth = 4x.

Thus the length and breadth are 72 cm and 96 cm.

Answer 2

Answer:

length = 72 cm

breadth = 96 cm

Step-by-step explanation:

• length : breadth = 3 : 4
• length = 3x
• breadth = 4x
• area = 6912 cm²

FORMULA:

AREA OF RECTANGLE = LENGTH × BREADTH

$3x \times 4x = 6912 \\ 12 {x}^{2} = 6912 \\ {x}^{2} = \frac{6912}{12} \\ {x}^{2} = 576 \\ x = \sqrt{576} \\ x = 24$

• length = 3x = 3 × 24 = 72 cm
• breadth = 4x = 4 × 24 = 96 cm