Question

Helppp this is my math test Which model is 85% shaded?

Answer 1

Answer:

Model 1 represents 85% shaded area.

Step-by-step explanation:

Here, each model consists of equal sized rectangles.

Please refer to attached figure to know the model number.

Model 2 (on top right of question figure) contains a total of 20 such rectangles out of which 13 are shaded. As per formula of percentage:

$\text{Percentage of shaded area} = \dfrac{\text{Number of shaded rectangles}}{\text{Total number of rectangles}} \times 100\\\Rightarrow \dfrac{13}{20}\times 100 = 65\%$

Model 3 (on bottom left of question figure) contains a total of 16 such rectangles out of which 10 are shaded. As per formula of percentage:

$\text{Percentage of shaded area} = \dfrac{10}{16}\times 100 = 62.5\%$

Model 4 (on bottom right of question figure) contains a total of 16 such rectangles out of which 13 are shaded. As per formula of percentage:

$\text{Percentage of shaded area} = \dfrac{13}{16}\times 100 = 81.25\%$

Model 1 (on top left of question figure) contains a total of 20 such rectangles out of which 17 are shaded. As per formula of percentage:

$\text{Percentage of shaded area} = \dfrac{17}{20}\times 100 = 85\%$

Hence, model 1 is the correct answer.