Question

Find the area of rectangular plot, one side of which 48 m and its diagonal is 50 m

Answer 1

Given:

One side of a rectangular plot is 48m

The length of the diagonal is 50m

To find:

Area of the rectangular plot

Solution:

We can find the area by following the given steps-

We know that the length, width, and diagonal of a rectangle form a right-angled triangle.

Let the side adjacent to the side of length 48m be X.

By applying the Pythagoras theorem,

${X}^{2} + {48}^{2} = {50}^{2}$

${X}^{2} = {50}^{2} - {48}^{2}$

${X}^{2} = 2500 - 2304$

${X}^{2} = 196$

X=14m

We now know the value of the length and width of the rectangular plot.

Area of the plot= length× width

=48×14

$=672 {m}^{2}$

Therefore, the area of the rectangular plot is 672 meters square.

Answer 2

Step-by-step explanation:

l=48m

diagonal=50m

b=?

(50)²=(48)²+b²

b²=2500-2304

b=√196

b=14m

Area of rectangle=length×breadth

=48×14

=672m²