Question: A community garden in Detroit is divided into three unequal plots with areas $ x+7 $, $ 2x+1 $, and $ 3x-4 $ square feet. If the total area is 50 square feet, what is the value of $ x $?

Sat, 02 May 2026 17:01:00 +0000

**1. Intro: The Quiet Puzzle of Detroit’s Garden Code** Have you ever been drawn to a simple math problem sparked by real-world joy—like how a community garden in bright Detroit transforms urban spaces into shared green havens? Today’s question taps into that curiosity: A community garden in Detroit is divided into three unequal plots with areas $ x+7 $, $ 2x+1 $, and $ 3x-4 $ square feet. If their total area sums to 50 square feet, what value of $ x $ satisfies the balance? This isn’t just a puzzle—it’s a reflection of adaptive urban planning and community-driven design in a city rebuilding from the ground up. Understanding how these sections fit together reveals both the precision behind public green spaces and a broader trend of reimagining shared environments through data and design. So, what’s $ x $, and why does this math matter beyond your phone screen? --- **2. Why the Question Matters: Urban Gardens, Equal Pieces, Real Impact**