Question

Find the value of d in the similar polygons below.

1.5 ft 7.29 ft
----- = d
4.05 ft 2.7 ft

a) 23
b) 5.3
c) 4.7
d) 2.7

Answer 1

The value of d is 2.7. Option (d) is true.

Explanation:

Similar polygons have several properties, including:

Corresponding Angles: Corresponding angles of similar polygons are congruent.

Corresponding Sides: Corresponding sides of similar polygons are in proportion to each other.

Scale Factor: The ratio of the lengths of corresponding sides is called the scale factor.

Shape: Similar polygons have the same shape but not necessarily the same size.

Now,

From the figure:

Using the properties of the corresponding side.

4.05/7.29 = 1.5/d

Solve for d.

d = 1.5 x 7.29 / 4.05

d = 2.7

Thus, Option (d) is true.