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A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.

The polygons are similar, but not necessarily drawn to scale. Find the value of x.

finding the missing side of similar polygons

Solution:

Given: Polygons are similar.

As they are similar, their side ratios will be equal.

AC/PQ = ED/SR = AB/PT

Substituting the values

8/2 = 16/4 = (x - 3)/2.5

By further simplification

1/4 = (x - 3)/2.5

2.5 = 4x - 12

On rearranging

2.5 + 12 = 4x

So we get

14.5 = 4x

Multiplying and dividing by 10, we get,

145/40 = x

x = 3.625

Therefore, the value of x is 3.625

The polygons are similar, but not necessarily drawn to scale. Find the value of x.

Summary:

The polygons are similar, but not necessarily drawn to scale. The value of x is 3.625

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