Lee's family had a garden in the shape of a right triangle. The total area of the garden is 16 square feet. If they expand the garden to form a triangle with twice the base and twice the height, by how much will they increase the size of their garden?

In the triangle lets name the base as A and height as B.

Area of the triangle = 1/2 x A x B

the area given of the triangle = 16 square feet

the new dimensions

A--->2xA

B - - - > 2xB

new area = 1/2 x 2x A x 2xB

= (1/2 x A x B) x 2 x 2

since (1/2 x A x B) = 16

new area = 16 x 4 = 64 sq feet

the increase in size = 64 - 16 =

the size of the garden increases by 48 sq feet