Quarter 4 Test 11XLIX. Area of Polygons

LI. Surface Area of Rectangular Prisms

LII. Volume of Rectangular Prisms

A tabletop shaped like a trapezoid has parallel bases of 40 cm and 62 cm and a height of 34 cm. Find the area. 62cm

34cm

40cm

A=(b1+b2)h 2

A=(62+40)34 2

A= 1,734 cm2

The area of a square is 49 square meters. If the area of the square is increased by 4 times, how many times greater is the length of the new square compared to the original square?

The length of the new square is two times greater.

The area of a parallelogram is 99 square inches. Its height is 9 inches. What is the base of the parallelogram? Solve algebraically.

Answer: A = bh 99 = 9b 9 9 b = 11 inches

A bulletin board is shaped like a trapezoid. If the bases are 45cm and 65cm and the height is 40cm, what is the area?

A=(b1+b2)h

2

A=(45+65)40

2

A=2,200cm2

Find the volume of the rectangular prism.

11cm

16cm

6cm

V=lwh

V=16(6)11

V=1,056cm3

Find the area of a trapezoid having a height of 32in. and parallel bases measuring 49in. and 61in.

61in.

32in.

49in.

A=(b1+b2)h 2A=(61+49)32 2A=1,760in.2

How many tiles 4 inches on each side will be needed to cover a floor measuring 8 feet by 7 feet?504 tiles will be needed.

Find the surface area of therectangular prism.

17 mm

40 mm

SA= 2(19 x 40) + 2(40 x 17) + 2(19 x 17)SA= 2(760) + 2(680) + 2(323)SA= 1,520 + 1,360 + 646SA= 3,526 square mm

19 mm

Find the area of the triangle.

13cm

16cm

22cm

A=1/2 bh

A=.5(16)13

A=104cm2