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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.

Verified Answer :

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 .

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

                             

The surface of the rectangle is 2 times the area of the triangle.

Given

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.

What is the formula to calculate the area of triangle and rectangle?

The area of the triangle is determined by the following formula;

\(\rm Area \ of \ triangle = \dfrac{1}{2} \times base \times height\)

The area of the rectangle is determined by the following formula;

\(\rm Area \ of \ rectangle =Length \times Width\)

Triangle TRI has a base of m centimeters and a height of n centimeters.

Then,

The area of the triangle is;

\(\rm Area \ of \ triangle = \dfrac{1}{2} \times base \times height\\\\\rm Area \ of \ triangle = \dfrac{1}{2} \times m\times n\\\\\rm Area \ of \ triangle = \dfrac{mn}{2}\)

Rectangle RECT has a length of n centimeters and a width of m centimeters.

Then,

The area of the rectangle is;

\(\rm Area \ of \ rectangle =Length \times Width\\\\\rm Area \ of \ rectangle =n \times m\\\\\rm Area \ of \ rectangle =nm\)

Hence, the surface of the rectangle is 2 times the area of the triangle.

To know more about the Area of the Triangle click the link given below.

https://brainly.com/question/2362570

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