The polygons are similar. The area of one polygon is given. Find the areas of the other polygon.

Step-by-step explanation:

Given

See attachment for polygons

Required

The area of the other polygon

From the attachment, we have:

and

In and

The area is calculated as:

Solve for h

Next, is to calculate the height of the other polygon using the following equivalent ratios;

This gives:

As fraction

Solve for h

So, the area is

hello from mrbilldoesmath!

answer:

(7 x + 6 y) (49 x^2 - 42 x y + 36 y^2)

discussion:

the trick is to recognize that 343 = 7^3 and 216 = 6^3 and, in general,

a^3 + b^3 =   (a + b) (a^2 - a b + b^2).

in our case

343x^3+216y^3   =   (7x)^3 + (6y)^3

so take a = 7x and b = 6y in the above equation to get the answer.

you,

mrb