Question

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? 16 square feet 32 square feet 48 square feet 64 square feet\

Answer 1

Area of right-angled triangle  is given by;

Area, A = 1/2 *b*h, Where b=base, h=height

Therefore,

A1 = 1/2bh = 16 in^2
A2 = 1/2 (2b)(2h) = 2bh

Ratio of increase = A2/A1 = {2bh}/(1/2bh} = 4 (the area is increased 4 times)
The,
A2 = 4*16 = 64 in^2
Therefore,
The area is increased by (64-16) = 48 in^2