Try it on paper first. A hint, the key idea and the worked solution are here when you need them.
A rectangular metal plate is long and wide. Four round holes, each of radius , are cut out of it. Find the area of the plate that is left, first in and then in . Take .
Name the plain shapes. Add the pieces, or subtract the part that is cut away. Keep as a letter until the last step. The perimeter of a combined figure counts only its outer edge.
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Given. The plate is by . Each hole has a radius of .
Step 1. The plate. .
Step 2. One hole. .
Step 3. Four holes. .
Step 4. The plate that is left. .
Step 5. In square metres. .
Answer: , which is .
Watch out. Change a square centimetre area to square metres by dividing by , not by .
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