Question

An isosceles right triangle has a hypotenuse length that can be modeled with the function h(x) = sqaure root of 2 The combined
length of the legs can be modeled with the function L(x) = 2x.
Which function, p(x), can be used to find the perimeter of the triangle?
A. P(x)=x/2 √2 + x
B. P(x)=x √2 +2x
C. P(x) = x √2 + 4x
D. P(x) = 2x √2 + 4x

Hurry timed!!

Answer 1

The legs are defined by $L(x) = 2x$. The Hypotenuse if defined by $h(x) = L(x)\cdot \sqrt{2}$. The perimeter is defined by:

$p(x) = h(x)+2\cdot L(x) \\~\\p(x) = L(x)\cdot\sqrt{2} +2\cdot L(x) \\~\\p(x) = L(x)\cdot\left(\sqrt{2}+2\right) \\~\\p(x) = 2x\cdot\left(\sqrt{2}+2\right) \\~\\p(x)= 2\sqrt{2}x+4x$

D. P(x) = 2x √2 + 4x

Answer 2

B
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