what portion of the figure is shaded 1. 0.6 2. 0.5 3. 0.4 4. 0.25
Answers
Answer:
Where's the figure buddy?
Answer:
Extra constructions:
A short line segment dividing shaded portion II to II a and II b. Here, the area of II a and II b will be II. [Please refer the attachment to view the diagram]
Solution:
First we can find the area of shaded portion I.
⇒ Breadth of the portion = 5 cm
Reason: This is because, it is given that the total length of the figure is 10 cm and the length of portion III is 5 cm. So, length of portion II is 10 - 5 = 5 cm.
⇒ Length of the portion = 5 cm
Reason: Given
⇒ Area of the portion = a²
= 5²
= 25 cm²
Now, we can find the area of shaded portion II.
In this portion, we have to find the area of II a and II b separately.
⇒ Length of II a = 5 cm
Reason: Subtracting length of portion I from total length of the figure.
⇒ Breadth of II b = 5 cm
Reason: Subtracting breadth of portion III from total figure.
⇒ Area of II a = a²
= 5²
= 25 cm²
⇒ Length of II b = 3 cm
Reason: Subtracting length of portion III from total length.
⇒ Breadth of II b = 5 cm
Reason: Breadth of portion III
⇒ Area of II b = lb
= 7 x 5
= 35 cm²
Total area of portion II = II a + II b
= 25 + 35
= 60 cm²
At last, we can find the area of shaded portion III.
⇒ Length of the portion = 7 cm
Reason: Given.
⇒ Breadth of the portion = 5 cm
Reason: Given
⇒ Area = lb
= 7 x 5
= 35 cm²
Now, we are asked to find the ratio of the area of the three portions.
= Area of I : Area of II : Area of III
= 25 : 60 : 35
→ Dividing all the three terms by 5.
= 5 : 12 : 7
→ No further simplifications can be done.
∴ The ratio of the three shaded regions is 5: 12: 7.