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?

Answer 1

If the triangle is increased to twice the base and the height the size will increase by 48 ft²

How to find the area of a triangle?

The area of a triangle can be described as follows;

area of a triangle = 1 / 2 bh

where

• b = base
• h = height

Therefore, the total area of the garden is 16 square feet.

Hence,

16 ft² = 1 / 2 bh

Hence, if the the triangle is increased to twice the base and the height the size will be as follows;

area = (1 / 2) × 2b × 2h

area = 4 × (1 / 2 bh)

area = 4 × 16

area = 64 ft²

Therefore,

difference in area = 64 ft² - 16 ft²

difference in area = 48 ft²

Therefore, if the the triangle is increased to twice the base and the height the size will  increase by 48 ft²

learn more on triangle  here: brainly.com/question/9593766

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