on this american flag the width of the blue rectangle is 2/5 the width of the red and white stripes. What fraction of the area o

Question

3 years ago

7

f the flag is the blue rectange?

1 answer:

Gnesinka [82] · Answer 1 · 2022-11-01T20:13:29+03:00

The area of the blue rectangle is 8/11 of the flag

The area of a shape is the amount of space it occupies

The width is given as:

$Width = \frac 25$

<h3>Blue region </h3>

The blue region of the American flag has a dimension of 8 by 11 stars.

So, we have:

$8 : 11 = x : \frac 25$

Where x represents the length of the blue region.

Express the ratio as fractions

$\frac{8 }{ 11} = x \div \frac 25$

Multiply both sides by 2/5

$\frac{8 }{ 11} \times \frac 52= x$

$\frac{20}{ 11} = x$

Rewrite as:

$x =\frac{20}{ 11}$

The area is then calculated as:

$Area =\frac{20}{ 11} \times \frac 25$

$Area =\frac{40}{ 55}$

Simplify

$Area =\frac{8}{ 11}$

Hence, the area of the blue rectangle is 8/11 of the flag