Snookiidn
Answered

Join the IDNLearn.com community and start finding the answers you need today. Whether your question is simple or complex, our community is here to provide detailed and trustworthy answers quickly and effectively.

The widths of two similar rectangles are 16 cm and 14 cm. What is the ratio of their perimeters? Of their areas?
a.
8:7 and 64:49
b.
9:8 and 64:49
c.
8 and 81-64
d.
8:7 and 81:64

Sagot :

[tex]\frac{16}{14}=\frac{8}{7}=8:7-ratio\ of\ perimeters\\\\8^2:7^2=64:49-ratio\ of\ areas\\\\Answer:A.[/tex]
TaeKwonDoIsDeadidn

Answer:

A


Step-by-step explanation:

Two lengths of similar figures relates by the scale factor [tex]k[/tex].

Two areas of similar figures relates by the scale factor [tex]k^{2}[/tex].


  • If length of one figure is A, and corresponding length of another figure is B, then they are related by:

[tex]A=kB[/tex]

  • If area of one figure is A, and corresponding Area of another figure is B, then they are related by:

[tex]A=k^{2}B[/tex]


So we can write:

[tex]16=k(14)\\k=\frac{16}{14}=\frac{8}{7}[/tex]


Since, perimeter is also length, the ratio would be [tex]\frac{8}{7}[/tex]

Similarly, ratio of their areas should be [tex]\frac{8^2}{7^2}=\frac{64}{49}[/tex]

Answer choice A is right.

Thank you for using this platform to share and learn. Keep asking and answering. We appreciate every contribution you make. IDNLearn.com has the solutions you’re looking for. Thanks for visiting, and see you next time for more reliable information.