Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

find l when p = 22 and w = 7. p = 2l + 2w (perimeter of a rectangle) l =

Question

find l when p = 22 and w = 7.
p = 2l + 2w (perimeter of a rectangle)
l =

Explanation:

Step1: Substitute given values

Substitute $P = 22$ and $W = 7$ into $P=2L + 2W$. We get $22=2L+2\times7$.

Step2: Simplify the right - hand side

Calculate $2\times7 = 14$, so the equation becomes $22=2L + 14$.

Step3: Isolate the term with L

Subtract 14 from both sides: $22-14=2L+14 - 14$, which simplifies to $8 = 2L$.

Step4: Solve for L

Divide both sides by 2: $\frac{8}{2}=\frac{2L}{2}$, so $L = 4$.

Answer:

$4$