Quiz 2 in Solid Mensuration

A piece of wire is shaped to enclose a square whose area is 169 square centimeters. It is then reshaped to enclose a rectangle whose length is 15 cm. Find the area of the rectangle.

• 165 square centimeter

• 175 square centimeter

• 170 square centimeter

• 156 square centimeter

The diagonal of the floor of a rectangular room is 7.50 m. The shorter side of the room is 4.5 m. What is the area of the room?

• 36 sq.m.

• 27 sq.m.

• 58 sq.m.

• 24 sq.m.

If the sides of the parallelogram and an included are 6, 10 and 100 degrees respectively, find the length of the shorter diagonal.

• 10.63

• 10.37

• 10.73

• 10.23

The diagonals of a rhombus are 10 cm and 8 cm., respectively. Its area is:

• 10 sq. cm.

• 50 sq. cm.

• 60 sq. cm.

• 40 sq. cm.

Given a cyclic quadrilateral whose sides are 4cm, 5 cm, 8 cm, and 11 cm. Its area is

• 40.25 sq. cm

• 48.65 sq. cm

• 50.25 sq. cm

• 60.25 sq. cm

A trapezoid has an area of 36 sq.m. and an altitude of 2m. Its two bases in meters have ratio of 4:5, the bases are:

• 12, 15

• 7, 11

• 16, 20

• 8, 10

A circle whose area is 452 cm square is cut into two segment by a chord whose distance from the center of the circle is 6cm. Find the area of the larger segment of in square centimeter.

• 372.56

• 363.95

• 368.42

• 377.63

The perimeter of a sector is 9 cm and its radius is 3 cm. What is the area of the sector?

• 4 sq. cm

• 4.5 sq. cm.

• 5.5 sq. cm.

• 13.5 sq. cm.

The distance between the center of the three circles which are mutually tangent to each other externally are 10, 12, 14 units. The area of the largest circle is:

• 72π

• 23π

• 64π

• 16π

A goat is tied to a corner of a 30 ft. by 35 ft. building. If the the rope is 40 ft. long and the goat can reach 1 ft. farther than the rope length, what is the maximum area the goat can cover?

• 5281 sq. ft.

• 4084 sq. ft.

• 3961 sq. ft.

• 3970 sq. ft.