Have a query? Ask a Tutor!!

Access to best educators and exclusive paper discussions

Offsite Campus Turito Championship

Can’t find what you’re looking for?

Our tutors are from top schools around the world, and they are waiting for you 24/7, anytime, anywhere.

Homework- One to One Solutions
Understand concepts to solve better
Get your doubts solved instantly

Mathematics

Grade9

Easy

Question

Find the perimeter of the polygon ABCD if the given polygons ABCD and QRST is similar.

46
23
44
54

hint Hint:

We know that when two polygons are similar their sides will be proportional. So, by equating the ratios we can get the value of x and then we will get the perimeter of polygon ABCD.

The correct answer is: 46

Corresponding sides of similar polygons are proportional.
$fraction numerator A B over denominator Q R end fraction equals fraction numerator 12 over denominator 6 end fraction equals 2$
$fraction numerator A D over denominator Q T end fraction equals fraction numerator 10 over denominator 5 end fraction equals 2$
$fraction numerator D C over denominator T S end fraction equals fraction numerator 16 over denominator 8 end fraction equals 2$
$fraction numerator B C over denominator R S end fraction equals fraction numerator x over denominator 4 end fraction equals 2$
$x equals 8$
Perimeter of the polygon ABCD is, 10 + 12 + 16 + 8 = 46.

Related Questions to study

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.