Question

find the area of the rectangle. (6x + 5) yards (6x - 5) yards the area of the rectangle is (simplify your answer.) help me solve this

Explanation:

Step1: Recall area formula

The area formula for a rectangle is $A = l\times w$, where $l$ is the length and $w$ is the width. Here, $l=(6x + 5)$ and $w=(6x - 5)$.

Step2: Multiply the expressions

Use the difference - of - squares formula $(a + b)(a - b)=a^{2}-b^{2}$, where $a = 6x$ and $b = 5$. So, $(6x + 5)(6x - 5)=(6x)^{2}-5^{2}$.

Step3: Simplify the result

$(6x)^{2}-5^{2}=36x^{2}-25$.

Answer:

$36x^{2}-25$ sq yd.