Question

A student broke this trapezoid into two triangles. She says she has enough information to find the area of it. Is she correct? Explain your answer, please.

Answer 1

Given : A student broke this trapezoid into two triangles.

She says she has enough information to find the area of it.

To Find : Is she correct   ?

If Yes then find area

Solution:

Area of Triangle can be found using formula = (1/2) * Base * height  

Height in both triangles  = 5 in

Base of  one triangle =   4 in

Base of  other triangle = 6 in

Area of one triangle = (1/2) * 4 * 5  = 10 sq inches

Area of another  triangle = (1/2) * 6 * 5  = 15 sq inches

Total area of trapezoid  = 10 + 15  = 25 sq inches..

Yes , She is correct

Area = 25 sq inches

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Answer 2

Solution ⤵️

Given ⤵️

A student broke this trapezoid into two triangles.

She says she has enough information to find the area of it.

To Find ⤵️

Is she correct   ?

If Yes then find area.

Calculation ⤵️

Area of Triangle is found using formula =

• $\sf{ \frac{1}{2} \times base \times height}$

• $\sf {height \: of \: both \: triangles = 5 \: in.}$

• $\sf{base \: of \: one \: triangle = 4 \: in.}$

• $\sf{base \: of \: the \: other \: triangle = 6 \: in.}$

• $\small \sf{area \: of \: one \: triangle = \frac{1}{ \cancel{2}} \times \cancel{4} \times 5 = 10 \: {in}^{2} }$

• $\small \sf{area \: of \: other \: triangle = \frac{1}{ \cancel{2}} \times \cancel{ 6} \times 5 = 15 \: {in.}^{2} }$

• $\small \sf{area \: of \: trapizoid = 15 + 10 = 25 \: {in}^{2} }$

$\therefore \small \sf{yes \:she \:is \: correct. }$

$\small \sf{area = 25 \: {in}^{2} }$

$\small{\textbf{\textsf{{\color{navy}\:{Hope}}\:{\purple{it}}\:{\pink{helps}}\:{\color{pink}{you!!♡}}}}}$