Question

Triangle TRI has a base of m centimeters and a height of n centimeters. Rectangle RECT has a length of n centimeters and a width of m centimeters. Use complete sentences to compare the areas of triangle TRI and rectangle RECT.

Answer 1

Area of a triangle =
`(1)/(2)` area of rectangle

Explanation:

Given:

Height of triangle = n cm, Base of triangle = m

Length of rectangle = n cm, Width of rectangle = m cm

Area of ΔTRI =
`(1)/(2)` base × height

=
`(1)/(2)` ( m ) × (n) ⇒
`(1)/(2)` mn

Area of Rectangle RECT = Length × Width

= m × n ⇒ = mn

Comparing Area of triangle and rectangle.

`(1)/(2)` mn = mn

We can conclude that area of triangle is half of the area of rectangle.