Find the dimensions of a rectangle whose perimeter is 24 meters and whose area is 35 square meters

Answer 1

To find the dimensions of a rectangle with a perimeter of 24 meters and an area of 35 square meters, we can set up a system of equations using the formulas for the perimeter and area of a rectangle.

Let's denote the length as l and the width as w

Step 1: Write the equations

Perimeter equation: The perimeter of a rectangle is given by: 2l+2w=24

Simplifying this, we get: l+w=12

Area equation: The area of a rectangle is given by: l×w=35

Step 2: Solve the system of equations

l + w = 12

l×w=35

and you are done.