Question

a. marys kitchen door is 1.2 m wide. how wide should the door be on the scale - drawing? how wide should the door be on the scale - drawing? ( ) cm
b. marys kitchen table measures 4 cm by 2.5 cm on the scale - drawing. what are the actual measurements of her kitchen table? give your answers in the boxes below. ( ) m by ( ) m

Explanation:

Step1: Convert meters to centimeters

1.2 m = 1.2×100 cm = 120 cm

Step2: Assume a scale

Assume 1 cm on drawing represents 100 cm in actual

Step3: Calculate door width on scale - drawing

\(d=\frac{120}{100}=1.2\) cm

Step4: Calculate actual length of table

\(L = 4\times100\) cm = 4 m

Step5: Calculate actual width of table

\(W = 2.5\times100\) cm = 2.5 m

Answer:

1. First, find the scale. Assume the scale is based on the given rectangle. Let's say the scale is determined by the ratio of the drawing - length to the actual - length. But we need to know the actual size related to the drawing first. If we assume the scale is uniform.

• Let's assume the scale is found from the fact that we need to convert between drawing and actual measurements.
• For part a:
• First, convert 1.2 m to cm. Since 1 m = 100 cm, then 1.2 m=1.2×100 = 120 cm.
• Let's assume the scale is \(s\). If we consider the given rectangle with length 15 cm and assume it represents some actual length. Let's assume the scale is \(1\) cm on the drawing represents \(x\) cm in actual.
• If we assume the scale is \(1:100\) (a common assumption if no other scale is given). Then the width of the door on the scale - drawing \(d=\frac{120}{100}=1.2\) cm.
• For part b:
• If the scale is \(1\) cm on the drawing represents \(100\) cm in actual.
• If the table measures 4 cm by 2.5 cm on the scale - drawing.
• The actual length \(L = 4\times100=400\) cm = 4 m.
• The actual width \(W = 2.5\times100 = 250\) cm=2.5 m.
• So the actual measurements of the kitchen table are 4 m by 2.5 m.