Question

Q 1. The area of a certain rectangle is 1 m².What is the area of a triangle that was cut off from that rectangle along a line connecting the midpoints of two adjacent sides?

Answer 1

0.125 m²

Explanation:

The area of a rectangle is the product of its length and breadth. Therefore:

area of the rectangle = length (l) × breadth (b) = 1 m².

l × b = 1

A triangle is cut off from that rectangle along a line connecting the midpoints of two adjacent sides, therefore the base of the triangle = length of rectangle/2 and the height of triangle = breadth of rectangle/2.

Area of triangle = 1/2(base × height) =
`(1)/(2)*(l)/(2)*(b)/(2)=(1)/(8)lb`

since lb = 1:

Area of triangle =
`(1)/(8)*1=0.125m^2`