The vertices of a composite figure are given. Find the area of the figure.

G(-5, -1), H(-5, 1), I(2, 4), J(5, -1), K(1, -3)

Question

04-08-2022
Mathematics

Answered

Experience the power of community-driven knowledge on IDNLearn.com. Get accurate and timely answers to your queries from our extensive network of experienced professionals.

The vertices of a composite figure are given. Find the area of the figure.

G(-5, -1), H(-5, 1), I(2, 4), J(5, -1), K(1, -3)

Sagot :

Thank you for contributing to our discussion. Don't forget to check back for new answers. Keep asking, answering, and sharing useful information. Thank you for choosing IDNLearn.com for your queries. We’re committed to providing accurate answers, so visit us again soon.

Grasshoppers In A Food Chain Eat Only Grass. They Are Classified As _______.

Type The Correct Answer In Each Box. Spell All Words Correctly.How Do You Stop Your System From Overheating?You Can Stop Your System From Overheating By Cleanin

You Can Afford $200 Per Month As A Car Payment. If You Can Get An Auto Loan At 3% Interest For 60 Months (5 Years), How Expensive A Car Can You Afford? In Other

Write Down The First Five Terms Of The Following Recursively Defined Sequence. A_(1)=-4;a_(n)=-2a_(n-1)+n A_(1)=______ A_(2)=_____a_(3)=_____ A_(4)=_____

Define Tariffs And Discuss The Consequences Of Both Increasingand Removing Import Tariffs.

What Is A Thesis?A. A Well-known Publication With An Editorial StaffB. A Way To Get The Attention Of The ReaderC. A Clear, Precise Statement About An IssueD. An

A Good Establishment Provides Separate Display Tanks For Live Lobster And Molliscan Shellfish Which Is Not A Requirement For Operation Of The Tanks

In "remembering Rosa Parks," Why Does Graham Use The Extended Metaphor Of Rosa As A Warrior

A Basketball Player Is Shooting A Basketball Toward The Net. The Height, In Feet, Of The Ball $ T $ Seconds After The Shot Is Modeled By The Equation \( H = 6

Question 10/18You Are Doing Housekeeping Tasks For A Client When He Asks You To Help Him Take A Shower. You're Surprised Because He Typically Takes His Shower A

Jdoe0001idn Jdoe0001idn · Answer 1 · 2022-08-04T19:21:19-04:00

Check the picture below.

so the composite is really a trapezoid and two triangles, let's get their area and sum them all up.

[tex]\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h~~=height\\ a,b=\stackrel{parallel~sides}{bases~\hfill }\\[-0.5em] \hrulefill\\ a = 2\\ b = 5\\ h = 7 \end{cases}\implies A=\cfrac{7(2+5)}{2} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{\textit{\LARGE Areas}}{\stackrel{yellow~trapezoid}{\cfrac{7(2+5)}{2}}~~ + ~~\stackrel{blue~triangle}{\cfrac{1}{2}(\stackrel{b}{3})(\stackrel{h}{5})}~~ + ~~\stackrel{orange~triangle}{\cfrac{1}{2}(\stackrel{b}{10})(\stackrel{h}{2})}} \\\\\\ 24.5~~ + ~~7.5~~ + ~~10\implies \text{\LARGE 42}[/tex]

Sagot :

Other Questions