<h3>
Answer: 300 square feet</h3>
Explanation:
The trapezoid has area of
A = h*(b1+b2)/2
A = 6*(10+18)/2
A = 84
The rectangle is 18 ft by 12 ft, which leads to an area of 18*12 = 216 sq ft.
Adding the two sub-areas gets us: 84+216 = 300
The total area of the house-shaped figure is 300 sq ft.
Answer:
The actual distance between the cities is 211.67 cm.
Step-by-step explanation:
Given:
The map key indicates that 4.5 cm is equivalent to 75 cm.
Now, to find the actual distance between the cities if the cities are 12.7 cm apart on the map.
Let the actual distance be
.
So, we set a proportion to find the actual distance:
4.5:12.7 = 75:x.
<em>Changing into fractions.</em>

<em>By cross multiplication we get:</em>

<em>Dividing both sides by 4.5 we get:</em>

Therefore, the actual distance between the cities is 211.67 cm.
Answer:
36 in
Step-by-step explanation:
The ratio of proportionality between the two similar triangles is 1:6, which you can find by dividing the corresponding side length measures from each triangle (3/18 = 4/24). Then you can set up a proportion:
1/6 = 6/x, which you can solve to get x = 36
Sorry I cant help you with that good luck with that.