Question

The length of a rectangular field is thrice its breadth. If the area of the rectangular field is 432m. What is the length of the rectangular field?​

Answer 1

ANSWER:-

Given:

The length of a rectangular field is thrice its breadth.

If the area of the rectangular field is 432m².

To find:

The length of the rectangular field.

Explanation:

We have,

The length of the rectangular field is thrice its breadth.

According to the question:

• Let the breadth of rectangular field is R

• The length of a rectangular field is 3R
• The area of the rectangular field is 432m².

We know that formula of the area of rectangle: Length×Breadth sq. unit

Therefore,

⇒ 3R  × R = 432m²

⇒ 3R² = 432m²

⇒ R² = $\frac{432}{3} m$

⇒ R² = 144m

⇒ R= √144m

⇒ R= 12m

Thus,

Putting the value of R in length of rectangular field.

The length of the rectangular field is [3× 12]m= 36m.

Answer 2

$\huge\bf{Answer:-}$

Let "L" be the length.Let "B" be the breadth. Given:

The length is thrice it's breadth.

Calculation:

→ L = 3

→ b = 1

Hence:

$\sf →240m = Perimeter \\ \sf →2( L + B )=240 \\ \sf →2(3 B + B )=240 \\ \sf →6B+2B=240 \\ \sf →8B=240 \\ \sf →B=240÷8 \\ \sf →B=30m$

Adding b in 1 :

$\sf →L=3b \\ \sf →3(30) \\ \sf →90m$

Therefore , 90m is the length of the field.