Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

a soccer field is 30 meters in width and 50 meters in length with an ar…

Question

a soccer field is 30 meters in width and 50 meters in length with an area of 1500 square meters. tamia made a scale drawing of the soccer field that has a scale of 1 centimeter = 5 meters. what is the area of the scale drawing that has a scale of 1 centimeter = 5 meters? you can solve on paper. then, enter your answer on zearn. the area of the scale drawing is square centimeters.

Explanation:

Step1: Calculate the scaled - down width

The scale is 1 cm = 5 m. The actual width is 30 m. So the scaled - down width $w=\frac{30}{5}=6$ cm.

Step2: Calculate the scaled - down length

The actual length is 50 m. Using the scale 1 cm = 5 m, the scaled - down length $l=\frac{50}{5}=10$ cm.

Step3: Calculate the area of the scale drawing

The area of a rectangle is $A = l\times w$. Substituting the values of $l = 10$ cm and $w = 6$ cm, we get $A=10\times6 = 60$ square centimeters.

Answer:

60