Question

the digonal of a rectangle board is 1m and its length is96cm find the area of the board

Answer 1

Answer:

2688 square cms

Step-by-step explanation:

A rectangle can be divide into two congruent triangles of same area by drawing a diagonal.

So, Area of rectangle = 2 * Area of one of the triangle

From the question we can interpret, base of the triangle = length of retangle =96 cm & hypotenuse = 1m = 100cm.

We should find the other side of the triangle which is breadth of rectangle(One side of the triangle is length of rectangle & another side is breadth of rectangle).

The triangle is right-angled. So, apply pythagorean theorum.

Hypotenuse^2 = one side^2 + another side^2

(100)^2 = (96)^2 +Side^2

10000 - 9216 = Side^2

784 = Side^2

Side = sqrt of 784

Side = 28 cm.

So, length of rectangle = 96 cm & breadth is 28 cm.

Area of rectangle = length * breadth = 96*28 = 2688 square cms

Answer 2

Given,
the diagonal of the rectangular board is = 1m= 100cm
the length of the rectangular board is = 96cm
breadth is = ?
by Pythagoras theorem
(length)^2 + (breadth)^2= (diagonal)^2
breadth= √ (100)^2 - (96)^2
breadth= √10000-9216
breadth= √784
breadth= 28cm
area of the board is = l×b
= 96×28
=2688cm
area of the board is 2688 cm
hope it helps