If P, R, T are the areas of a parallelogram, a rhombus and a triangle standing on the same base and between the same parallel lines, then which of the following is true?
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → \(R=P=2T\)
Figures on the same base and between the same parallel lines have the same height, so their areas depend only on the base and the height.
Parallelogram: \(P=\text{base}\times\text{height}\)
Rhombus: a rhombus is a parallelogram, so \(R=\text{base}\times\text{height}=P\)
Triangle: \(T=\displaystyle\frac{1}{2}\times\text{base}\times\text{height}\), so \(P=2T\)
Hence \(R=P=2T\).