Question

review:

1. solve the following equation for w: \t\t$l = \frac{p - 2w}{2}$

1. the expression $\sqrt{45} + \sqrt{80}$ is equivalent to:

Explanation:

Step1: Multiply both sides by 2

$2L = P - 2w$

Step2: Rearrange to isolate $2w$

$2w = P - 2L$

Step3: Divide by 2 to solve for $w$

$w=\frac{P-2L}{2}$
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Step1: Simplify $\sqrt{45}$

$\sqrt{45}=\sqrt{9\times5}=3\sqrt{5}$

Step2: Simplify $\sqrt{80}$

$\sqrt{80}=\sqrt{16\times5}=4\sqrt{5}$

Step3: Add the simplified terms

$3\sqrt{5}+4\sqrt{5}=7\sqrt{5}$

Answer:

1. $w=\frac{P-2L}{2}$
2. $7\sqrt{5}$