John Roy creates this drawing of a composite shape for an art contest. The area of the drawing is 78 cm² what is the height of the rectangle

1 answer

In order to determine the height of the rectangle, we need to know the dimensions of the composite shape. Let's assume the rectangle has a length of L cm and a height of H cm, and the other shape (let's say a triangle) has a base of B cm and a height of H cm.

The area of a rectangle is calculated as A = L * H.
The area of a triangle is calculated as A = 0.5 * B * H.

Given that the total area is 78 cm², we can write:

78 = (L * H) + (0.5 * B * H).

Since we don't have the dimensions of the shapes, we cannot solve for the height of the rectangle.