To calculate surface area, use the equation: (PS)/2 + 1/2bh (if it’s a triangle) or (PS)/2 + b^2 (if it’s a square)

Calculate the surface area of each pyramid with the following values. (P = perimeter, b = one side of the base, s=side, h=height). Number of sides is given in each problem. The first two have hints to let you know what the shape of the base is…..

1. P = 12 ft, s = 4 ft, b = 4 ft, h=2 ft, 3 sides (base is a triangle)
2. b = 4 in, P = 16 in, s = 12, 4 sides (base is a square)
3. P = 48 m, b = 12 m, s=12, 4 sides
4. P = 45 yds, b = 15 yds, s=15, h=12, 3 sides
5. b = 6 ft, P = 24 ft, s=6, 4 sides
6. P = 15 ft, b = 5 ft, s=5 ft, h= 4, 3 sides
7. b = 4 in, P = 16 in, s=11, 4 sides
8. P = 40 m, b = 10 m, s=10, 4 sides
9. P = 45 yds, b = 15 yds, s=10, h=8, 3 sides
10. b = 16 ft, P = 64 ft, s=8, 4 sides
11. b = 5 ft, P = 20 ft, s=7, 4 sides
12. P = 45 ft, b = 15 ft, s=10, h=8, 3 sides
13. b = 13 in, P = 52 in, s=11, 4 sides
14. P = 28 m, b = 7 m, s=8, 4 sides
15. P = 27 yds, b = 9 yds, s=30, h=25, 3 sides

1. The perimeter of a rhombus is 40. What is the area of the square?

2. If one angle of a parallelogram is 60 degrees, find the number of degrees in the remaining three angles.

3. Are the diagonals of a parallelogram perpendicular? Why orwhy not? Explain.

4. Does an isosceles trapezoid have two sets of parallel sides? Why or why not? Explain.

5. Does a rhombus have two sets of congruent sides? Why or why not? Explain.

6. The perimeter of a square is 160 feet. What is the area of the square?

7. True or false;

a. A rhombus is a parallelogram with four congruent sides

b. A rectangle is a parallelogram with four right angles

c. A square is a rectangle and a rhombus

d. A rhombus is always a square

e. Every parallelogram is a regular quadrilateral

f. In a rectangle, the diagonals are perpendicular

8. Name the bases of the trapezoid shown below;

9.True or False;

a. A trapezoid has two bases

b. A trapezoid may have a right angle

c. A trapezoid may have three congruent sides

d. The bases of an isosceles trapezoid are congruent

e. The parallel sides of a trapezoid are called the legs

10. Find the values of the median of a trapezoid with the following base values;

1. The angle bisector bisects the opposite side into two lengths, 2 and 4 units long.the length of the height on that side is 15 units.determine the length of the other two sides of the triangle

Two identical right-angled triangles, JKL
and MLK, overlap along side KL, as
shown. Sides JL and MK intersect at N.
The area of the overlapped region, 4KLN,
is equal to half of the area of 4JKL. The
area of the figure JKLMN is 48 cm2
. If
JK = 6 cm, determine the length of KL.