Solve the problems below.
1. The area of triangle ACD is 16 square cm and the base is 2 cm. If the area of ACD is two-fifth of ABC, find BC.
2. The area of triangle PBQ is 54 square cm. Triangle ABC is thrice as big as triangle PBQ. If PB = 12 cm and AP = PB, find the height of triangle ABC.
3. The area of ABCD is three-eighth that of PQR. If AD = 4 cm, PQ = 16 cm, QR = 20 cm and PR = 12 cm, calculate:
(a) The length of rectangle ABCD.
(b) The total perimeter of the 2 figures.
4. Calculate the area of triangle OYZ. Given OX = 4 cm, XY = 12 cm and OZ = 17 cm.?
5. AB = 30 cm and BC = 9 cm. If the 3 triangles are of equal area, find FB.
6. The area of rectangle ABCD is 120 square m and BC is 10 m. Area of triangle DEF is one-eighth that of ABCD. Find area BCEF.
7. The base of the shaded triangle is 30 cm and its area is 300 square cm. If CE = 5 cm, find the area of the unshaded region.
8. Find the area of the figure. Given: AB = 20 m, BC = 20 m, DE = 10 m, EF = 10 m, FG = 10 m and GH = 10 m.