Answer:1. Split the shape into a rectangle on the top and a trapezoid on the bottom. Find their areas separately and sum them. Area(rec)=110*50=5500 cm^2. Area(trap)=(110+180)*(140-50)/2=13050 cm^2. Area(total)=5500+13050=18550 cm^2.
2. Find the areas of the triangle and square separately, and sum them. Using Pythagorean's, DE=\sqrt(10^2-8^2)=6 ft. Area(ADE)=8*6/2=24 ft. Area(ABCE)=8*8=64 ft^2. Area(total)=24+64=88 ft^2.
1. Split the shape into a rectangle on the top and a trapezoid on the bottom. Find their areas separately and sum them. Area(rec)=110*50=5500 cm^2. Area(trap)=(110+180)*(140-50)/2=13050 cm^2. Area(total)=5500+13050=18550 cm^2.
2. Find the areas of the triangle and square separately, and sum them. Using Pythagorean's, DE=\sqrt(10^2-8^2)=6 ft. Area(ADE)=8*6/2=24 ft. Area(ABCE)=8*8=64 ft^2. Area(total)=24+64=88 ft^2.
You want to make 1/3 and 5/6 have the same denominator so you multiply both the numerator and denominator of 1/3 by 2 to get 2/6. You plug that back into your equation to get: (2/6 - 5/6) / 5/6. 2/6 - 5/6 is -3/6. -3/6 divided by 5/6 is -3/6 multiplied by 6/5 which is -3/5.
