Question

A square and a right triangle were usedto form the following figure.9 cm5 cm8 cmWhat is the area of the unshaded regionof this figure in square centimeters?

Answer 1

So we need to find the area of the unshaded region. This is equal to the area of the right triangle minus that of the square. The area of a right triangle is given by the product of its legs divided by two. Then the area of the right triangle in question 9 is:

`((5+8)\cdot9)/(2)=(13\cdot9)/(2)=58.5`

The area of a square is given by the square of the length of its sides so the area of the shaded square is:

`5\cdot5=25`

Then the area of the unshaded region is:

`58.5-25=33.5`

Then the area is equal to 33.5 square centimeters. The notation requested by the question indicates that we have to express this number with a + or - symbol followed by 4 digits, a dot and then 2 digits. Then the answer is +0033.50.