calculate the perimeter and area in each of the following figures
Answers
Step-by-step explanation:
hope it's helpful to you
The area and perimeter of figure a are 122 cm² and 62 cm, and the area and perimeter of figure b are 72 cm² and 55.5 cm.
Given:
2 figures as shown in the figure above.
To Find:
We need to find the area and perimeter of the given figures.
Solution:
We can construct and label the two figures as shown in the figure below.
(a). Area of the figure = area of ABCD + area of DIHJ + area of EFGH
= (4 × 8) + (6 × 4) + (6 × 11)
= 32 + 24 + 66
= 122
Now, the perimeter can be calculated by simply summing up the sides
Perimeter = 8 + 10 + 7 + 6 + 11 + 12 + 4 + 4
= 62
(b). Similarly, area of this figure = area of UXYZ + area of RSLT + area of PQVW
= (12 × 2) + (3 × 4) + (3 × 12)
= 24 + 12 + 36
= 72
and perimeter = 12 + 3 + 4.5 + 4 + 4.5 + 2 + 12 + 2 + 4.5 + 4 + 3
= 55.5
Thus, the area and perimeter of figure a are 122 cm² and 62 cm, and the area and perimeter of figure b are 72 cm² and 55.5 cm.
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