Question

a rectangular price tag has an area of 70 square centimeters. its perimeter is 34 centimeters. what are the dimensions of the price tag? centimeters by centimeters

Explanation:

Step1: Define variables for length and width

Let length = $l$, width = $w$.

Step2: Set up perimeter equation

Perimeter: $2(l + w) = 34$ → $l + w = 17$.

Step3: Set up area equation

Area: $l \times w = 70$.

Step4: Solve for $l$ and $w$

Find two numbers that add to 17 and multiply to 70: 10 and 7.

Answer:

10 centimeters by 7 centimeters