Juan is constructing a doghouse . he need four pieces of ply wood that are 2 ft x 3 ft rectangles. he also needs two pieces of plywood that are 2 ft x 2 fr squares . how many square feet of plywood is he purchasing in all?

Hi there!

So, let’s start with the rectangles. You would multiply 4(2 ft x 3 ft) since length x width = area (for rectangles). You multiply by 4 because there are 4 rectangles mentioned, and each have the same 2 ft x 3 ft measurements.

Next, you multiply 2(2 ft x 2 ft), or 2 to the exponent of 3, i.e., 2^3. 2 ft x 2 ft are the measurements of the sides of the squares, and as you probably know, side x side OR side^2 = area (for squares). Again, you multiply the original 2 ft x 2ft area by 2 because there are 2 squares mentioned with the same 2 ft x 2 ft measurements.

Finally, you add 4(2 ft x 3 ft) and 2(2 ft x 2 ft) together to equal the total area of plywood purchased, or the total amount of square feet of plywood he is purchasing in all.

It says in the questions that it is 6.5?

For the first question the answer is a, for the second c, for the third d, for the 4th b, for the 5th a