Answer:
<em>85 ft</em><em>.</em>
Step-by-step explanation:
8*10=80 (the value of the the rectangle by itself)
then we take the values we are given and find the width and height of the triangle. Knowing it is a right triangle, we perform two equations,
15-10 (the total length of the polygon) 5 ft
and
8-6 (to find the height of the triangle, using the length where the hypotenuse of the triangle cuts off the rectangle) 2 ft
With this, we now have the length and width of the right triangle, and multiply them together to get 10. Because that formula only works on rectangles and squares, but we know that the triangle is a right triangle, we divide the 10 in half to get 5, which is the area of the triangle. Together, the value of the area for the rectangle and the triangle together result in 85 ft (remember to label units when in a written test!)
75 elves.
I created a fraction to help solve for the number of elves. I did so by:
90/x=140/210
I solved for x which would equal 135. This is the equivalent number of elves in the theater. You would subtract this number from 210 which would equal 75.
OR
You can figure out how many elves equal 1 giant. In this case, you would divide 210 by 140 which equals 1.5 giants. Since there are 90 giants, you multiply 1.5 giants to find out an equivalent for elves which would equal 135. Same as before, subtract this from 210, resulting in 75.
Cora got 85% of it correct so the decimal form would be 0.85
Answer:
3075
Step-by-step explanation:
