Question

$\text{Figure ABCD represents a rectangular signboard.}$
$\text{With a scale of}1in:3ft,\text{find the area of}$
$\text{the scale drawing A'B'C'D' .}$

• A. 6 sq. inch
• B. 10 sq. inch
• C. 12 sq. inch
• D. 15 sq. inch

Answer 1

The correct option is B 10 sq. inch

To find the area of the figure A'B'C'D', we need to find the lengths and the width of the rectangle.

$\text{The scale is}1in:3ft$


$\text{A'B' = scale}\times \text{AB}$
$=\frac{1}{3}\times 6$
$=2in$

$\text{B'C' = scale}\times \text{BC}$
$=\frac{1}{3}\times 15$
$=5in$


$\therefore \text{Area of rectangle A'B'C'D'}$
$\text{= Length}\times \text{width}$
$=2\times 5$
$=10sq.inch$