Question

class notes: computing actual lengths of a scale drawing
aim: how do we compute the actual lengths in scale drawings?
do now:
scale drawing: a reduced or enlarged two - dimensional drawing of an original two - dimensional drawing whose dimensions are proportional to the original.
the diagram shown below is a scale drawing of a garden.
each square in the drawing measures 1 cm by 1 cm.
1 centimeter on the diagram represents 20 meters in real life.
a.) find the length and width of the garden, in centimeters, based on the drawing,
length:
width:
b.) find the length and width of the garden, in meters, in real life.
length:
width:
c.) find the area of the garden, in square meters, in real life.

Explanation:

Step1: Count the length and width in cm

By counting the squares in the drawing, the length is \(8\) cm and the width is \(4\) cm.

Step2: Convert cm to meters

Since \(1\) cm represents \(20\) meters.
For length: \(8\times20 = 160\) meters.
For width: \(4\times20=80\) meters.

Step3: Calculate the area

The area formula for a rectangle is \(A = length\times width\).
So \(A=160\times80 = 12800\) square - meters.

Answer:

A. Length: \(8\) cm, Width: \(4\) cm
B. Length: \(160\) meters, Width: \(80\) meters
C. \(12800\) square - meters