MATH SOLVE

2 months ago

Q:
# 9. If the diagonal of a square is 12 centimeters, the area of the square is A. 102 cm2. B. 36 cm2. C. 144 cm2. D. 72 cm2.

Accepted Solution

A:

Answer:D. 72 cm²Step-by-step explanation:The area of a square is given by ;Area= l² where l = lengthGiven that the diagonal is 12 cm, let assume length of the square to be lApply the Pythagorean relationship where a=b=ll² + l² = 12²2 l² = 144l²= 144/2l²= 72l =√72 =8.485 cm⇒length of the square= l= 8.485 cm⇒Area of the square= l² = 8.485² = 72 cm²