question_answer

A rectangular carpet has an area of \[120\text{ }{{m}^{2}}\]and a perimeter of 46 m. The length of its diagonal is:

A) 15m                            

B) 16m

C) 17m                

D) 20m

Correct Answer: C

Solution :

Let the sides be a and b as shown in figure Area = ab = 120                                .....(1) Perimeter \[3722{{m}^{2}}\] \[1372{{m}^{2}}\] \[926{{m}^{2}}\]                               ?..(2) We have, \[4564{{m}^{2}}\] \[5566.04{{m}^{2}}\] \[99909{{m}^{2}}\]        ?..(3) Solving (2) and (3), we get A = 15, b = 8 \[1320{{m}^{2}}\] The length of diagonal of the carpet \[1277{{m}^{2}}\]