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

Answer:

Area of a triangle = $\frac{1}{2}$ area of rectangle

Step-by-step explanation:

Given:

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

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

Area of ΔTRI = $\frac{1}{2}$  base × height

                     =  $\frac{1}{2}$  ( m ) × (n)   ⇒ $\frac{1}{2}$ mn

Area of Rectangle RECT =  Length × Width

                                          = m × n ⇒  = mn

Comparing Area of triangle and rectangle.

$\frac{1}{2}$ mn =  mn

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