Question

The ratio of length to breadth of a rectangular
ength to breadth of a rectangular field is 4:3. If its diagonal is 200 m, the area of the field
in square meters is
a) 18200
6) 19200
c) 18500
d) 18900
More than one correct answer type questions :​

Answer 1

Answer:

Dear student

Here I use the formula of the rectangle and formula of the diagonal.

I hope that you understand this.

Answer 2

Answer:

option b

Step-by-step explanation:

let the length and breadth be 4x and 3x.

Diagonal of a rectangle = $\sqrt{l^{2}+b^{2} }$

⇒ 200 = $\sqrt{(4x)^{2}+(3x)^{2} }$

⇒ 200 = $\sqrt{16x^{2}+9x^{2} }$

⇒ 200 = $\sqrt{25x^{2} }$

⇒ 200 = 5x

⇒ x = $\frac{200}{5}$

⇒ x = 40

So, the length of the field = 4×40 = 160m

And the breadth of the field = 3×40 = 120m

Now, ar. of the field = l×b = 160m×120m = 19200 m²