Question

Find the value of x. If necessary, round to the nearest tenth.

Answer 1

A) 8.9

Triangle is half of a square, so a square has double the area of the triangle.

40 x 2 = 80

Area is the square root of 80.

Square root of 80 = about 8.9

x = 8.9

Answer 2

Answer: a) 8.9 in.

Step-by-step explanation:

From the given picture it can be seen that the area of the triangle A = 40 sq. in.

The height of triangle = base of the triangle =x

We know that the area of triangle is given by :-

$A=\frac{1}{2}\times base \times height\\\\\Rightarrow\ 40=\frac{1}{2}(x)(x)\\\\\Rightarrow\ 2\times40=x^2\\\\\Rightarrow\ x^2=80\\\\\Rightarrow\ x=\sqrt{80}=8.94427191\approx8.9\ in.$

Hence, the value of x = 8.9 in.