A new patio will be an irregular hexagon. The patio will have two long parallel sides and an area of 360 square feet. The area of a geometrically similar patio is 250 square feet, and its long parallel sides are 12.5 feet apart. What is the corresponding distance on the new patio?
The figure are similar, corresponding sides are proprtional
L1/L'1=L2/L'2= ... =k , the scale factor for lengths.
However, if scale factor for lengths is k, the ratio of area is k^2 find
Scale factor
Use the given area to find the proportionality factor then use it the ratio of length to find the missing distance between the parallel sides.
Area of new /Area of old=360/250=36/25=k^2
k=SQRT(36/25)=6/5
Ratio of lengths =k=6/5
Distance between parallel sides of new patio/Distance between parallel sides of old patio=6/5
Distance between parallel sides of new patio= (6/5)*12.5=15
The distance between the parallel sides of the new patio is 15 feet.
SOURCE: surface area =300 square feet 25 year old ash
Ash fault? I think you mean "asphalt" but that's OK. You haven't given enough information to solve the problem, but here's what you need to do.
You know the area of the roof is 300 square feet (sq ft). You should know the area of each asphalt shingle, although that's the information you didn't give. When you know that figure, the calculation is very simple:
number of shingles needed = area of roof / area of one shingle
I don't know if this is a class problem, or if you really have a roofing job. Don't forget that on a real roof, the shingles overlap. If you do the calculation, the number you get is right only if you lay the shingles edge-to-edge. A real-world roof would need probably twice that number. Shingles come packed in bundles, and they usually tell you the area they cover. (By the way, 100 square feet is termed a "square".)
553 views
Usually answered in minutes!
×