Question

Question 12 with the work please, thanks in advance

Answer 1

You can set up a proportion since they will be similar triangles. Similar triangles have the same ratio for corresponding sides. The old tent is an isosceles triangle, two of the sides are equal(10 ft), the new one is said to be similar, but with two equal sides of 16 ft instead. We want to find the base of the new triangle, so we can set up a proportion:

$\sf\dfrac{10}{15}=\dfrac{16}{x}$

Cross multiply:

$\sf 10x=240$

Divide 10 to both sides:

$\sf x=\boxed{\sf 24}$

So the floor of the new tent is 24 ft wide.