Question

career math i unit 3 test ratios, prop, percent, scale (a)
in the scale drawing of central park in new york city below, the ratio is 1 cm to 320 m.
with a length of 12.6 cm and width of 2.5 cm, find the full - sized length, width, and area of the park.
area formula = length x width

Explanation:

Step1: Calculate full - sized length

The scale is \(1\space\text{cm}:320\space\text{m}\), which means \(1\space\text{cm}\) on the drawing represents \(320\space\text{m}\) in real. The length on the drawing is \(12.6\space\text{cm}\). So the full - sized length \(L = 12.6\times320\)
\(L=4032\space\text{m}\)

Step2: Calculate full - sized width

The width on the drawing is \(2.5\space\text{cm}\). Using the same scale, the full - sized width \(W=2.5\times320\)
\(W = 800\space\text{m}\)

Step3: Calculate the area

The area formula is \(A=\text{length}\times\text{width}\). We know the length \(L = 4032\space\text{m}\) and width \(W = 800\space\text{m}\), so \(A=4032\times800\)
\(A = 3225600\space\text{m}^2\)

Answer:

Full - sized length: \(4032\space\text{m}\), Full - sized width: \(800\space\text{m}\), Area: \(3225600\space\text{m}^2\)