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3 years ago

12

Please help..click on picture...I rrally need help

1 answer:

Alekssandra [29.7K]3 years ago

8 0

So the students are on 5:6 ratio from volleyball to football, and we know there are 220 students in total.

$\bf \cfrac{volleyball}{football}\qquad 5:6\qquad \cfrac{5}{6}\implies \cfrac{5\cdot \frac{220}{5+6}}{6\cdot \frac{220}{5+6}}\implies \cfrac{5\cdot 20}{6\cdot 20}\implies \cfrac{100}{\stackrel{football}{120}}$

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EXPLANATION

One way to solve this is to find the area of the blue square and the subtract the areas of the red triangles:

The blue square is 12 units long by 12 units wide. Its area is:

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Then, the area of the big triangle, which has a base 12 units long and a height of 10 units, is:

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The smaller triangle has a base of 4 units and a heigth of 2 units. Its area is:

$A_{\text{triangle}2}=\frac{4\times2}{2}=\frac{8}{2}=4$

So the total area of the figure is:

$\begin{gathered} A=A_{\text{square}}-A_{triangle1}-A_{triangle2} \\ A=144-60-4 \\ A=80 \end{gathered}$

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