Strange area problem

Relevant wiki: Length and Area - Composite Figures

You can divide the biggest green triangle into two little like this:

Now you have 5 little triangles so you can divide area by their quantity: $25\div 5=5$ . After, multiply this by amount of little triangles and get the answer: $5\times 28=140$

Relevant wiki: Basic Composite Figures

The blue area consists of $5/4$ of a square of area $x$ , so $5x/4=25$ , which solves to $x=20$ . The whole figure is equivalent to 7 squares, with area $7x=140$ .

Relevant wiki: Length and Area

The area of 5 small triangles = 25. Therefore the area of 1 small triangle is 5. There are 28 small triangles in the entire figure (as 1 large triangle is equal to 2 small triangles). So, the total area of the figure is $28\times 5 = \boxed{140}$

The big blue square is 10. So the little blue is 5. If you count with all the small squares 5 and all the big squares as 10 your answer is 140.

Note that if we take four copies of the blue area, we can arrange them into a shape that covers all but two red squares of the octagon. Also note that the area of the octagon is seven times the area of a red square. So, the area of the whole thing is $25 \cdot 4 \cdot \frac{7}{5} = \boxed{140}$ .

1 of the big triangles = 2 small triangles. 3 small triangles + 1 big triangle = (3 + 2) small triangles = 5 small triangles. The area of the 5 triangles is 25 units squared. 25/5 = 5 units squared. There are 4 small triangles per square. 5(4) + 4(2) = 28 small triangles. Therefore: 28 x 5 = 140 units squared

We are told that the area of the shaded triangles adds up to 25. This divides into: large shaded triangle has area 10 and other three have area five each. There are four large triangles forming the corners of the shape, and five central squares each equivalent to two of the large triangles for the rest = 14 triangles with an area 10 each = 14 x 10 = 140.

Just add the small four triangles by placing them side by side. You will find, they form 5/4 squares. The one square's area = 4/5 * 25=20. Now add the triangles at the Conners. They add up to 2 squares. Along with that we have 5 clearly marked out squares.That adds up to 7 squares. And the area becomes 7*20 =140

The biggest blue triangle in the diagram has the same area as 2 of the smaller blue triangles. In that case, there are 5 small triangles total in the shape, so 5t=25, and t=5. There are 20 small triangles in the equation, and 8 big ones, making the total area of the shape worth the area of 28 triangles, or 28*5, or 140 square units.

There are 7 red squares (5 outlined and the four large triangles make 2). As shown above, 1.25 of a square equals an area of 25. Then set up the ratio $\frac{7}{1.25}$ = $\frac{x}{25}$ . Then solve for x, giving x=140.

We have 20 smaller triangles and 4 larger triangles. We can say that:

$Area = 20x + 4y$

We are also told that the area of 3 smaller triangles and 1 larger triangle is 25. Hence:

$3x + y = 25$

We can observe that a larger triangle is twice as large as a smaller triangle, therefore:

$y = 2x$

$25 = 3x + 2x$

$25 = 5x$

$x = 5$

Futhermore:

$Area = 20x + 4y$

$Area = 20x + 4(2x)$

$Area = 20x + 8x$

$Area = 28x$

$Area = 28(5)$

$Area = 140$

The area is 140.

there are 28 equal sized spaces in total (pretty sure everyone can work out and agree the large triangle is double the small), and therefore 5 of those are equal to a total area of 25, simple maths 28/5*25 (total divided by filled area (gives the multiplication factor of equal spaced areas matching the filled) multiplied by the value of the filled are 25, (filling up all areas) = 140

It is a little tricky but it is time to simplify. Just break the big blue triangle into half which will simplify the triangle into two little triangles. Now you have 5 little triangles. Now we have to find the area of each little triangle. Each little triangle is = 25/5 = 5 There are 28 little triangles in total so multiply 5 by 28. 5*28 = 140 The whole figure's area is equal to 140.

lets call the area of one red square $x$ . We can see from the diagram that the red squares are divided into 4 parts and so the area of a smaller blue triangle would be $\frac{1}{4}$ $x$ . We can also see that the larger triangle is half of a red square and so its area must be $\frac{1}{2}$ $x$ . Blue area $=25$ so $\frac{5}{4}$ $x=25$ , therefore $x=20$ if we solve. There are 5 red squares and 4 halves of those squares so in total 7 squares. If we multiply $20*7$ we get 140 units squared which is the total area of the shape.

The 4th triangle=1/2 area of a square and the other 3 are 1/4 of a square each so 1/2X+3/4X =25 so 5/4X=25(2/4+3/4) so the area of 1 square(X)=25÷5/4=20 and there are 5 squares and 2 halves so there are 7 squares then 7×20=140