Question

Find the diagonal of rectangle whose length is 16 cm. and area is 192 sq. cm.
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Answer 1

Answer:

20 cm

Step-by-step explanation:

Given:

Length (L) = 16 cm

Area (A) = 192 sq.cm

To find:

Diagonal (D)= ?

Formula:

A = L√D^2 - L^2

Solution:

A = L√D^2 - L^2

192 = 16 √D^2 -16^2

192 = 16 √D^2 -256

192÷16 = √D^2 - 256

12 = √D^2 - 256

12^2 = (√D^2 - 256)^2

144 = D^2 - 256

D^2 = 144 + 256

D^2 = 400

D = √400

D = 20 cm

Therefore, the length of the diagonal of the rectangle whose length is 16 cm and Area is 192 sq.cm is 20 cm.