Question

warm-up
what percentage of each figure is shaded?
be prepared to explain your reasoning.
figure a
figure b
figure c
a two green shaded rectangles followed by eight white rectangles
b blue shaded rectangle covering half, white rectangle covering half
c three orange shaded rectangles, one white rectangle

Explanation:

Step1: Calculate the percentage for Figure A

Figure A has 10 equal - sized parts. The number of shaded parts is 2. The formula for percentage is \(\frac{\text{Number of shaded parts}}{\text{Total number of parts}}\times100\%\). So, \(\frac{2}{10}\times100\% = 20\%\)

Step2: Calculate the percentage for Figure B

Figure B is divided into 2 equal - sized parts. The number of shaded parts is 1. Using the percentage formula \(\frac{1}{2}\times100\%=50\%\)

Step3: Calculate the percentage for Figure C

Figure C is divided into 4 equal - sized parts. The number of shaded parts is 3. Using the percentage formula \(\frac{3}{4}\times100\% = 75\%\)

Answer:

Figure A: \(20\%\), Figure B: \(50\%\), Figure C: \(75\%\)