My homework
independent practice

go online for step-by-step solutions
find the area of each figure. round to the nearest tenth if
necessary.
(example
(02 cm
12 cm
6 yd
4.5 cm
16 yd
8 yd
2 cm
show) 24 yd
5 cm
1 m.
15 c
15 m

The correct answers are:
 #1) 64 sq cm; #2) 240 sq yd; #3) 85.12 sq cm; #4) 193.3125 sq m.

Explanation:
#1) This can be broken into two rectangles, one with dimensions of 12 by 4.5 and one with dimensions of 2 by 5. The area of each rectangle is found by multiplying the length and the width; this gives us 12*4.5=54 and 2*5=10. Together this gives us 54+10=64.

#2) This can be broken into a rectangle with length 24 and width 8, and a triangle with base (24-6-6)=12 and height (16-8)=8.
The area of a rectangle is found by multiplying length and width; this gives us 24*8=192.
The area of a triangle can be found by multiplying 1/2*b*h; this gives us 1/2*12*8=48. Together we have 192+48=240.

#3) This can be broken into a triangle with base 8 and height 15, and a circle with diameter 8.
The area of a triangle is given by 1/2*b*h; this gives us 1/2*8*15=60.
The area of a circle is 3.14*r²; since we have the diameter, we take half of it to find the radius. d=8, so r=8/2=4. We only want half of the circle, so we have 1/2*3.14*4²=25.12. Together this gives us 60+25.12=85.12.

#4) This can be broken into a rectangle with length 15 and with 7, and half of a circle with diameter 15.
The area of a rectangle is found by multiplying the length and width, which gives us 15*7=105.
The area of a circle is found by 3.14*r²; we have the diameter, so we take half of it first. 15/2 = 7.5. We only want half of the circle, so we use 1/2*3.14*7.5²=88.3125. Together, this gives us 105+88.3125=193.3125.