contestada

This rectangle and right triangle have the same perimeter.What is the difference in their areas?A.0 square cmB.2.0 square cmC.3.6 square cmD.4.8 square cm

This rectangle and right triangle have the same perimeterWhat is the difference in their areasA0 square cmB20 square cmC36 square cmD48 square cm class=

Respuesta :

The area of the rectangle is

[tex]\begin{gathered} A_R=4\times3 \\ A_R=12\operatorname{cm} \end{gathered}[/tex]

On the other hand, the area of the right triangle is

[tex]\begin{gathered} A_T=\frac{1}{2}(4.2)(4) \\ A_T=4.2\times2 \\ A_T=8.4\operatorname{cm} \end{gathered}[/tex]

Then, the difference in their areas is

[tex]\begin{gathered} A_R-A_T=12-8.4_{} \\ A_R-A_T=3.6\operatorname{cm} \end{gathered}[/tex]

so, the answer is option C.