Question

What is the perimeter of the rhombus?

a. 48
b. 28
c. 68
d. 56

Answer 1

Hint: In order to solve this question, we should know about the concept of perimeter, that it is the total length of the boundary of any figure. So, to solve this question, we will find the length of all the sides of the rhombus and then add them to get the answer.

Complete step-by-step answer:
In this question, we have been asked to find the perimeter of the given rhombus.

In order to find the perimeter of the given figure, we should know that the perimeter of any quadrilateral is calculated by adding the length of all the sides. So, we can say that the perimeter of the rhombus, ABCD is,
AB + BC + CD + DA
Now, we know that CD is equal to the sum of CE and ED, we can write it as, CD = CE + ED = 9 + 8 = 17. Now, we will substitute the values, AB = 17, BC = 17, AD = 17 from the figure and CD = 17, as we had calculated earlier, in the formula to find the perimeter of the rhombus ABCD. So, we get,
Perimeter of rhombus ABCD = AB + BC + CD + DA
= 17 + 17 + 17 + 17
= 68
Hence, we can say that the perimeter of the given rhombus is 68 units. Therefore, option (c) is the correct answer.

Note: We can also solve this question by using the formula, perimeter of rhombus = 4 (side), because all the four sides of a rhombus are equal. While solving this question, the possible mistake we can make is by reading the perimeter as an area and then solving the question, which is wrong and we will lose marks.