Kurt Bryan
NAME:
1. Find the area, in square inches, of each square below, where the length of one side is given
(given length may not correspond to the actual length on the paper): side = 5 inches side = 4 inches side = 1 inch area = area = area =
2. Find the area of each rectangle below, in square inches, by measuring the lengths of the sides.
5 inches 7 inches
1 inch
2 inches
3 inches 3 inches area = area = area =
3. For each square below the AREA is given (doesn’t necessarily correspond to the actual area on the paper). Find the length of one side of the square.
area = 9 sq. inches side = area = 1 sq. inch side = area = 4 sq. inches side =
1

4. These are trickier. For each square below the AREA is given. Estimate, as accurately as you can, the length of one side of the square (no measuring): area = 14 sq. inches area = 6 sq. inches area = 2 sq. inches side = side =
5. Find the area of each right triangle below: side =
2 inches
1 inch 1 inch
1 inch 2 inches 3 inches area = area = area =
6. The right triangle below has legs of length 3 and 4. How long is the hypotenuse? (I actually made the legs 3 and 4 inches on the page, so you can just measure the hypotenuse.)
2

Here’s a clever way to find it without measuring! Take four copies of the triangle and arrange them into a large square as follows:
4 3
3
4
4
3
3 4
Now answer the following questions.
(a) How long is one side of the large square?
(b) What is the area of the large square?
(c) What is the area of each of the triangles?
(d) What is the area of all of the triangles put together?
(e) What is the area of smaller central square?
(f) What is the length of one side of the smaller central square?
The last number is the length of the hypotenuse!
7. Try using the same idea to find the length of the hypotenuse for a right triangle with legs of length 7 and 12!
3