Which of the following will have equal areaSelect answersAA parallelogram and a triangle having same base but height of triangle is double the height of parallelogramBA rhombus and a square having same perimeterCTwo parallelograms having same base and between the same parallel linesDTwo equilateral triangle having same perimeter

The correct answer is C. Two parallelograms having the same base and between the same parallel lines will have equal areas.

Here's why:

A. A parallelogram and a triangle having the same base but the height of the triangle is double the height of the parallelogram. The area of a triangle is 1/2 base * height, while the area of a parallelogram is base * height. So, even if the height of the triangle is double, its area will not be equal to the parallelogram.

B. A rhombus and a square having the same perimeter. The area of a square is side^2, while the area of a rhombus is 1/2 * d1 * d2 (where d1 and d2 are diagonals). Having the same perimeter doesn't guarantee that the areas will be equal.

C. Two parallelograms having the same base and between the same parallel lines. The area of a parallelogram is base * height. If two parallelograms have the same base and are between the same parallel lines, they will have the same height. Therefore, their areas will be equal.

D. Two equilateral triangles having the same perimeter. The area of an equilateral triangle is (sqrt(3)/4) * side^2. Even if two equilateral triangles have the same perimeter, it doesn't guarantee that their sides will be equal, and therefore their areas may not be equal.