The perimeter of a rectangle is 88 cm . If the length is 15 cm , how wide is the rectangle? A) First write an equation you can use to answer this question. Use \( w \) as your variable in the equation. The equation is B) Solve your equation in part [A] to find the width of the rectangle. Answer: The rectangle is \( \square \mathrm{cm} \) wide.

The equation for the perimeter \( P \) of a rectangle is given by \( P = 2l + 2w \). In this case, since the perimeter is 88 cm and the length \( l \) is 15 cm, you can write the equation as \( 88 = 2(15) + 2w \). To solve for \( w \), start by plugging in the values: \[ 88 = 30 + 2w \] Subtract 30 from both sides: \[ 88 - 30 = 2w \] \[ 58 = 2w \] Now, divide both sides by 2: \[ w = 29 \] Answer: The rectangle is \( 29 \mathrm{cm} \) wide. Making calculations like this can feel like detective work! By just rearranging your equation and solving it in steps, you're uncovering the mystery of dimensions. It's like piecing together a puzzle — and now you know that the width is a respectable 29 cm, a perfect fit with your 15 cm length! Next time you're drafting plans or designing a space, remember this simple yet effective method. Rectangles are everywhere in real life, from rooms in houses to smartphones! With just a little math, you're already much closer to making designs come to life.