ll Two sides of a triangle measure 8 cm and 12 cm. Find its area if its perimeter is 28 cm. 2. Atriangular piece of wood having a dimension 138 cm, 188 cm, and 180 cm is to be dividedby a line bisecting the longest side drawn from its opposite vertex. Find the area of the part adjacent to the 188- crn side. 3. Two triangles have equal bases. The attitude of one triangle is 3 units more than its base and the altitude of the other is 3 unim less than its base. Find the altitudes if the areas of the triangle differ by 21 square units. 4. A piece of wire is shaped to enclose a square whose area is 188 sq. cm. It is then reshaped to enclose a rectangle whose length is 15 cm. Find the area of the hiangle. A trapezoid has an area of 35 sqm and an altitude of 2 m. Its two bases in meters have a ratio of 4:5, determine the bases. Each interior angle of a regular polygon is 155 degrees. How many sides? Each interior angle of a regular polygon is 165 degrees. How many sides? A regular octagon is inscribed in a circle of radius 18. Find the area of the octagon. Two sides of a parallelogram measure 88 cm and 83 cm and the shorter diagonal is :12 cm. Determine the smaller interior angle of the parallelogram. 18. A circle whose area is 152 square centimeters is cut into two segments by a chord whose distance from the center of the cirrje is 8 cm. Find the area of the larger segment in square centimeters. 11. A swimming pool is to be constructed in the shape of partially overlapping identical circles. Each of the circles has a radius of '3 m, and each pass through the center of the other. Find the area of the swimming pooL 12. Pr circle of radius 5 cm has a chord which is 8 cm long. Find the area of the circle concentric to this circle and tangent to the given chord. 13. Find the area of the largest circle that can be cut from a triangle whose sides are 18 cm, 18 cm, and 28 cm. 14. The distance between the center of the three circles which are mutually tangent to each other externally is 18, 12, and 14 units. Find the area of the largest circle. 15. A circle having an area of 224 sq. m. is inscribed in an octagon. Find the area of the octagon. 18. Three circles of radii 118, 148, and 228 are tangent to one another. 1What is the area of the triangle formed by joining the centers of the circles? 1?. One side of a rectangle, inscribed in a circle of diameter 1? cm, is 18 cm. Find the length of the other side. 18. A rectangular bin 4 feet long, 3 feet wide, and 2 feet high is solidly packed with bricks whose dimensions are 8 in. by 4 in. by 2 in. Find the number of bricks in the bin. 18. Determine the volume of a right truncated prism with the following dimensions: Let the corner of the triangular base be defined by A, B, and C. The length AB = 18 feet, EC = 8 feet, and CA = 12 feet. The sides at .8, l3, and C are perpendicular to the triangular base and have a height of 8.8 feet, ?.1 feet, and 5.5 feet, respectively. 28. The frustum of a regular triangular pyramid has equilateral triangles for its bases. The lower and upper base edges are .8 m and 3 m, respectively. If the volume is 118.2 cu. m, how far apart are the base? 21. A right circular cone with an altitude of 8 cm is divided into two segments. lDine is a smaller circular cone having the same vertex with a volume equal to lid of the original cone. Find the altitude of the smaller cone. 22. A chemist's measuring glass is conical in shape. If it is 8 cm deep and 3 cm across the mouth, nd the distance on the slant edge between the marking for 1 cc and 2 cc. 23. A swimming pool is rectangular in shape of length 12 m and width 5.5 m. It has a sloping bottom and is 1 m deep at one end and 3.5 m deep at the other end. The water from a fuil cylindrical reservoir 3.8 m in diameter and 18 m deep is emptied into the pool. Find the depth of water at the deep end. .Ul 5598:5115\
