NAME____________________________________________DATE________________
GEOMETRY
CLASS WORK: PERIMETER
Show all work on loose leaf.
1. A rectangle has a width of 5mm and a length of 13mm. Find the perimeter.
2. The three sides of an isosceles triangle are represented by 25, 60, and x + 50. The
perimeter of the isosceles triangle is 145. What is the value of x?
3. If two sides of an isosceles triangle are 2 and 12, the perimeter can be:
(1) 14
(2) 16
(3) 24
(4) 26
4. The perimeter of a pentagon is 30. The sides are represented by (y + 3), (2y + 7),
(3y  10), 15, and 3. What is the value of y?
5. The perimeter of a regular octagon is represented by 32w. Represent the side of the
regular octagon in terms of w.
6. The measures of a hexagon are represented by (a + 3), (3a  5), (2a +1), 4a, (5a  3),
and 11. Express the perimeter of the hexagon as a binomial in terms of a.
7. The sides of a triangle are represented by y, (y + 21), and (y + 24). The perimeter of
the triangle is 90. Find the value of y.
8. The circumference of a circle is represented by 100. If the radius is tripled, find the
new circumference in terms of .
9. If the length of a rectangle is 12 more than the width, represent the perimeter of the
rectangle as a binomial in terms of x.
10. The side of a regular hexagon is 8. Find the side of a square having the same
perimeter as the regular hexagon.
11. The radius of a circle is 6. Find the perimeter of a quarter-circle. Leave the answer in
terms of .
12. The swimming pool shown below has a semicircular shallow end. Find the perimeter
of the pool.
40 ft
12 ft
NAME____________________________________________DATE________________
GEOMETRY
CLASS WORK: AREA
Show all work on loose leaf.
1. The perimeter of a square field is 12cm. Find its area.
2. If the diameter of a circle is 10, then find the area.
3. One rectangular yard has a length of 36 feet and a width of 24 feet. A second yard
with the same area has a length of 32 feet. Find the width of the second yard.
4. One diagonal of a rhombus measures 6 feet, and the area of the rhombus is 48 square
feet. Find the measure of the other diagonal.
5. To the nearest tenth of an inch, find the area of the patio below.
6. The bases of an isosceles trapezoid are 8 and 12. The bases are 2 units apart. Find
the area of the trapezoid.
7. A 4-foot wide sidewalk around an office building must be repaved. The building
covers a rectangular space 100 feet by 50 feet. If repaving costs $0.50 per square
foot, what is the total cost?
8. On a basketball court, the center circle has a diameter of 4 feet. What is the area to
the nearest tenth of a square foot?
9. The cost of making a cheese pizza is 4 cents per square inch. If the pizzeria sells a
9-inch diameter pizza for $10, what is the profit made on each pizza?