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

The area of the triangle is 
a=( m x n) /2  in cm² , implies   2xa = m xn
the area of the rectanglle
A= n x m  in cm²
but we know    2xa = m xn = A,  
that means  the surface of the rectangle is 2 times of the area of the triangle

Answer 2

Answer:

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

Step-by-step explanation:

In triangle TRI

Height of triangle = n

Base of triangle = m

Formula of area of triangle = $\frac{1}{2} \times Base \times Height$

Area of ΔTRI = $\frac{1}{2} \times m \times n$

In rectangle RECT

Length = n

Width = m

Formula of area of rectangle = $Length \times Width$

Area of rectangle RECT= $m\times n$

On comparing Area of triangle and rectangle.

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

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