manny has 48 feet of wood. he wants to use all of it to create a border around a garden. the equation 2l +…

manny has 48 feet of wood. he wants to use all of it to create a border around a garden. the equation 2l + 2w = 48 can be used to find the length and width of the garden, where l is the length and w is the width of the garden. if manny makes the garden 15 feet long, how wide should the garden be?\n9 feet\n18 feet\n30 feet\n33 feet

manny has 48 feet of wood. he wants to use all of it to create a border around a garden. the equation 2l + 2w = 48 can be used to find the length and width of the garden, where l is the length and w is the width of the garden. if manny makes the garden 15 feet long, how wide should the garden be?\n9 feet\n18 feet\n30 feet\n33 feet

Answer

Explanation:

Step1: Substitute length value

Given the equation $2l + 2w=48$ and $l = 15$. Substitute $l$ into the equation: $2\times15+2w = 48$.

Step2: Simplify left - hand side

Calculate $2\times15=30$, so the equation becomes $30 + 2w=48$.

Step3: Isolate the term with $w$

Subtract 30 from both sides: $2w=48 - 30$. $2w=18$.

Step4: Solve for $w$

Divide both sides by 2: $w=\frac{18}{2}=9$.

Answer:

9 feet