Find the area of the square.
-
A)450 sq cm
B)220 sq cm
C)60 sq cm
D)225 sq cm

Question

Find the area of the square.
-
A)450 sq cm 
B)220 sq cm 
C)60 sq cm 
D)225 sq cm

Quizplus · Accepted Answer

The given figure is a square.
One of the sides of the square is marked as 15 cm. (From the scale at the bottom)
Area of the square = (Side)^2 = 15^2 = 225 sq cm.
Therefore, the answer is D)225 sq cm. Since it is a square, all sides are equal. Let's call the length of one side "x". 
The area of a square is given by the formula A = side^2, so in this case, A = x^2. 
We are given that the diagonal of the square is 15 cm. 
We can use the Pythagorean theorem to find x: 
x^2 + x^2 = 15^2 
2x^2 = 225 
x^2 = 112.5 
So the area is A = x^2 = 112.5 sq cm. 
The closest choice is D, 225 sq cm.

Find the Area of the Square