Question

whats the area of the house? round to the nearest 10th

Answer 1

the answers are 225.3cm2 or 256.7cm2 or 283.283.5 or 298.1cm2

Answer 2

notice you really have a rectangle with a triangle sitting on top of it
so,
the Area of the house will be
the Area of the Rectangle, Length x Width
PLUS
the Area of the Triangle, => \(\bf Area = \cfrac{1}{2} \times base \times height\)

Answer 3

so, how do we find the "height" for the triangle?
well, look at the picture, using pythagorean theorem

\(\bf c^2 = a^2 + b^2 \implies b^2 = c^2 - a^2 \implies b = \sqrt{c^2 - a^2} \implies b = \sqrt{12.5^2 - 11^2}\)

Answer 4

shoot, it got truncated :/

Answer 5

$$
\bf c^2 = a^2 + b^2 \implies b^2 = c^2 - a^2 \\
\implies b = \sqrt{c^2 - a^2} \implies b = \sqrt{12.5^2 - 11^2}
$$

Answer 6

ok so what will be the answer

Answer 7

well, what did you get for the Area of the Rectangle?

Answer 8

i dont remeber but i got 298.cm2