One side of a rectangle is 8cm and the diagonal is 10cm. What is the area of the rectangle?

Assessment: WAEC SSCE - General Mathematics - 1996 (Objective) Subject: General Mathematics

Question 1 Report

One side of a rectangle is 8cm and the diagonal is 10cm. What is the area of the rectangle?
Answer Details
We know that the diagonal of a rectangle divides it into two right triangles with the diagonal as the hypotenuse, and the sides of the rectangle as the legs of the right triangles. Let's call the other side of the rectangle "x". Using the Pythagorean theorem, we have: 102 = 82 + x2 Simplifying and solving for x, we get: x = √(102 - 82) = √36 = 6 Therefore, the area of the rectangle is: 8 x 6 = 48 cm2 Hence, the answer is 48cm2.
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