Grade 6 Math · Level 3, Expressions, Equations & Inequalities
Use Formulas with Variables
How the lesson starts: Use Formulas with Variables

Treehouse plans
Hi, builder! Kai and Rosie are building a treehouse. Their plans are full of formulas, like A = lw, P = 2l + 2w and d = rt. A formula is a rule with letters. Put in the numbers you know, and it hands you the one you need!
Floor area
First, the floor. Its length is l = 8 feet and its width is w = 3 feet. The area formula is A = lw, which means l times w. Count the squares: 3 rows of 8. So A = 8 × 3 = 24 square feet.
A railing all around
Rosie wants a railing around a deck 7 feet long and 3 feet wide. Use P = 2l + 2w: two lengths plus two widths. 2 × 7 = 14, and 2 × 3 = 6. So P = 14 + 6 = 20 feet. Watch out: double both the length and the width!
