Question

Find the area of a rectangular plot, one side of which is 48 m and its diagonal is 50m.
please tell full explanation ​

Answer 1

Answer:

diagonal or hypotenuse=50m

side or base=48m

other side or perpendicular can be found by Pythagoras theorem.

x= 14m

area of rectangle = length *breadth

=48*14

=672m^2

Step-by-step explanation:

Answer 2

Answer:

672m is the area of the rectangle

Explanation:

Given information:

The plot is in the shape of a rectangle.

The length of one side of a rectangle = 48m

The length of diagonal of the rectangle = 50m

Need to Find:

The area of the rectangular plot

Solution:

As all four interior angle of a rectangle are right angles. We can apply the Pythagorean theorem to find the the other side of the rectangle.

Here, the hypotenuse is the diagonal of the rectangle. and the dimensions of the rectangle are the base and perpendicular.

Let the other side of the rectangle = a

By Pythagorean theorem

⟹ (Diagonal)² = ( side )² + ( a )²

⟹ (50m)² = (48m)² + a²

⟹ 2500m² = 2304m² + a²

⟹ 2500m² - 2304m² = a²

⟹ 196m² = a²

⟹ √(196m) = a

⟹ 14m = a

The other side of the rectangle is 14m long

Now, as we have got both the sides of the rectangle. We can find the area.

Area of a rectangle = Length × Breadth

Area of the rectangle = 48m × 14m

Area of the rectangle = 672m

672m is the area of the rectangle