This is the 8th problem of the week of MTAP Reviewer.
The diagonal of a square is 6cm. Find the area of the square that is twice its size.
We can divide a square into several ways, one of which is using its diagonal.
Now, using the diagonal of the square as side of the larger square, we can create a larger square as shown above. As seen, the diagonal of the square cuts the square into half. This half region makes a fourth of the larger square (Can you see why?).
Since the length of the side of the larger square is the diagonal of the smaller square 6, the area of the larger square is 6× 6 = 36.
My apologies for not sustaining the Problem of the Week section of this site. Anyway, I’ll do my best to make Problem of the Week a really weekly post. This week, we are going to tackle two problems since they are quite easy. These problem are classified under the third Grade and were taken from Grade 3 Sample Problem Set 1, so these are actually very easy.
My uncle’s age is 7 more than twice my eldest brother’s age. My eldest brother is 19 years old. How old is my uncle?
The eldest brother’s age is 19. The uncle’s age is 7 more than twice the brother’s age. Now, twice 19 is equal to 38. Since the uncle is 7 more than twice, we add 7 to 38. So, the uncle is 38 + 7 = 45 years old. Continue reading “Problem of the Week 7”
The last problem in the previous post asked about the least wrapper that can be used to wrap the box below. As we can see, if we wrap each side with a rectangular wrapper, it is equivalent to finding the areas of all the faces or finding the surface area of the prism. The original problem is as follows.