Page 213 - Math Course 1 (Book 1)

Understanding Scale Drawings

Step 3
Let’s Begin Make the scale drawing.

1
Use –inch grid paper. Since 2 inches = 8 squares
4
3
Construct a Scale Drawing and 1 inches = 7 squares, draw a rectangle that is
4
Example 8 squares by 7 squares.

Answer
PATIO DESIGN
16 ft

Sheila is designing a patio that is 16 feet long and
14 feet wide. Make a scale drawing of the patio.
Use a scale of 0.5 inch = 4 feet.

Step 1 Find the measure of the patio’s length on 14 ft
the drawing. Let x represent the length.

drawing length 0.5 inch = x inches drawing length
actual length 4 feet 16 feet actual length

0.5 • 16 = 4 • x Find the cross
products.
Your Turn!
8 = 4x Simplify.
Find Actual Measurements
2 = x Divide each side
by 4. GARDENING
Bob is designing a garden that is 18 feet long and
On the drawing, the length is 2 inches. 14 feet wide. Make a scale drawing of the garden.
Use a scale of 0.5 inch = 4 feet.
Step 2 Find the measure of the patio’s width
on the drawing. Let w represent the width. 1
A. The length is 2 inches = 6 squares and the
3 4
width is 1 inches = 5 squares.
drawing length 0.5 inch = w inches drawing length 4
actual length 4 feet 14 feet actual length 1
B. The length is 2 inches = 9 squares and the
3 4
width is 1 inches = 7 squares.
0.5 • 14 = 4 • x Find the cross 4
products.
1 1
7 = 4w Simplify. C. The length is 1 inches = 4 squares and the
2
8
7
1
width is inches = 3 squares.
8
2
7 4w Divide each side
4 = 4 by 4. 1
D. The length is 1 inches = 6 squares and the
2
1.75 = w Simplify. 1
width is 1 inches = 5 squares.
3 4
On the drawing, the length is 1.75 inches or 1
4
inches. Answer
205