If two squares X and Y have sides of 10 m and 20 m respectively, then the side of the square Z whose area is equal to the sum of the areas of square X and square Y is:
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → \(10\sqrt{5}\,\mathrm{m}\)
The area of a square is side × side, so find the area Z must have and take its square root to get the side.
Area of X \(=10^2=100\) m2; area of Y \(=20^2=400\) m2
Area of Z \(=100+400=500\) m2
Side of Z \(=\sqrt{500}=\sqrt{100\times5}=10\sqrt{5}\) m