Question

What is the area (in cm²) of the quadrilateral formed by joining the midpoints of the sides of a square of
area 144 cm²??
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Answer 1

Step-by-step explanation:

The area of a square is 144 sq cm. How many cm is each side?

Area of a square is given by a2 where a is the side of the square.

Given area of square is 144 sq. cm, i.e.,

a2=144cm2

⟹a=±144−−−√cm

⟹a=±12×12−−−−−−√cm

⟹a=±122−−−√cm

⟹a=±12cm

Length cannot be negative.