The illustration is drawn to a scale of 3/8...

Study

Question 1 of 2066636eee28f7522a1c51ebc6

The illustration is drawn to a scale of 3/8 inch = 1 inch. What is the full-size dimension of "X", if the scale lengths for "E" = 5/8", "F" = 1 3/8", "G" = 2 1/8", and "H" = 5 3/4"? Illustration GS-0007

Back

Question 1 of 20

66636eee28f7522a1c51ebc6

No comments yet

Be the first to share your thoughts!

If the question has a related picture, it will appear here.

🔍 Key Concepts

• Use the scale factor: 3/8 inch on the drawing represents 1 inch full size • From the illustration, the total length H equals G + F + X + E • You can either work entirely in drawing dimensions first, then convert, or convert each part to full-size and then solve for X

💭 Think About

• Looking at the bottom of the sketch, how is the total length H built up from the individual segments G, F, X, and E? • Is it easier to solve for X in the scaled (drawing) dimensions first, then convert, or to convert all the known lengths to full size and then solve? Try both approaches conceptually. • Once you find the scaled length of X on the drawing, how do you turn that into a real-world (full-size) dimension using the 3/8" = 1" scale?

✅ Before You Answer

• Be sure all mixed numbers (like 1 3/8 or 5 3/4) are converted consistently to either improper fractions or decimals before adding/subtracting. • Double-check that you’re using the relationship H = G + F + X + E in the correct order when solving for X. • When converting from drawing size to full size, confirm you’re dividing by 3/8 inch per inch (or multiplying by its reciprocal) so that your units end up in full-size inches.

👋 Hi! I'm Genie, your AI study assistant. How can I help you with this question?

Quick actions

— No credit card needed