The length of the diagonal of a rectangle is 26 cm and one side is 10 cm. The area of the rectangle is:
Answer & explanation
Correct answer: option 1
Length of diagonal of the rectangle of side length x and y = \(\sqrt {(x^2 + y^2)}\) = 26 cm
One side length = 10 cm
= \(\sqrt {(x^2 + y^2)}\) = 26 cm
= 102 + b2 = 676
= b2 = 676 - 100
= b = \(\sqrt {576}\) = 24 cm
Area of given rectangle = a × b = 10 × 24 = 240 cm2