Question

Help me if you are good at finding areas please? A sticker on the rear window of a truck is rectangular in shape with two green triangular sections, as shown below. The two triangles are similar. If AB = 12 cm, BC = 6 cm, and EF = 4.5 cm, what is the total area for both triangles? (Check the picture)

Answer 1

Answer:

$\frac{x}{y}$45 long

Step-by-step explanation:

Answer 2

The total area of both the triangles is 56.25 square units.

What is the scale factor of similar triangles?

When two triangles are similar, the reduced ratio of any two corresponding sides is called the scale factor of the similar triangles.

What is area?

The space occupied by a flat shape or the surface of an object is called area.

What is the formula for area of triangle?

Area = (1/2) × base × height

According to the given question.

We have a two triangles, which are similar to each other.

Let the length of the side DE in triangle DEF be x.

Since, ABC similar to DEF

⇒$\frac{AB}{DE} =\frac{BC}{EF}$

⇒$\frac{12}{x} =\frac{6}{4.5}$

⇒$\frac{12(4.5)}{6} = x$

⇒$2(4.5)=x$

⇒ $x = 9$

Now, area of triangle ABC = $\frac{1}{2}(6)(12)=36 square units$

Area of triangle DEF = $\frac{1}{2} (9)(4.5)= 20.25square units$

Therefore,

The total area for both the triangles

= 36 + 20.25

= 56.25 square units

Thus option B is correct.

Find out more information about area of similar triangles here:

https://brainly.com/question/16394875

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