Question

A group of students from the Czech Republic are going to visit Farhan's school. Farhan is asked to paint a Czech flag to put up in his classroom. The dimensions and colours of the flag are as shown: If one vertex of the triangle is exactly at the centre of the flag, how much area would Farhan paint blue?​

Answer 1

Answer:

1/4th

Step-by-step explanation:

as in the flag of Czech the 1/4th of flag is painted blue while 3/8 is painted each white and red.

Answer 2

Given,

Farhan is to draw a Czech Republic flag.

To find,

Area of the flag which Farhan would paint blue.

Solution,

Farhan is required to paint one-fourth of the whole area of the flag blue.

We may easily answer the numerical problem by following the steps below.

Let a be the length of the flag and b be its width.

We know that there is a triangle with a height of a/2 and two trapeziums with equal areas in the Czech Republic flag.

Now,

The height of the triangle = a/2

The base of the triangle = b

Thus,

The area of the triangle = $2* \frac{1}{2}* \frac{b}{2} *\frac{a}{2}$

                                         = $\frac{ab}{4}$

The flag's area is equal to ab

Now,

We have to find the fraction of the area occupied by the triangle by the area of the flag.

Thus,

Fraction occupied by the triangle = $\frac{\frac{ab}{4} }{ab}$

                                                        = $\frac{1}{4}$

As a result, we can conclude that the area which Farhan has to paint blue is one-fourth of the total area of the flag.