The base and the height of Sail B are x times greater than the base and the height of Sail A. How many times greater is the area of Sail B? Write your answer as a power.

sail A-4(high) 3(base)

Sail A has base equal to b and Height equal to h. Since sail B has base and height x times that of A, the base of B is bx and the height is hx

Since your sail has a base and a height it can be a triangle, a square, a rectangle or a rhombus, but I believe most sails are either triangles or rectangle so let's explore those. That should be enough to see that the answer is the same for the shapes listed.

TRIANGLE
The area of a triangle is (1/2)(b)(h). This is the area of sail A. The area of sail B is (1/2)(bx)(hx) = . That makes the area of B times greater.

RECTANGLE
The area of a rectangle is (b)(h). This is the area of sail A. The area of sail B is (bx)(hx) = That makes the area of B times greater.