Question

1. un dibujo a escala de un parque rectangular mide 5 pulgadas de ancho y 7 pulgadas de largo. el parque real mide 280 yardas de largo. ¿cuál es el área del parque real en yardas cuadrado? a. 35 b. 200 c. 1,400 d. 56,000

Explanation:

Step1: Find the scale - factor

The scale - drawing has length 7 inches and the real - life length is 280 yards. Let the scale - factor be $k$. We know that $\frac{\text{real length}}{\text{scale - drawing length}}=k$. So, $k=\frac{280}{7}=40$.

Step2: Find the real - life width

The scale - drawing width is 5 inches. The real - life width $w$ is found by multiplying the scale - drawing width by the scale - factor. So, $w = 5\times40=200$ yards.

Step3: Calculate the real - life area

The area of a rectangle is $A = l\times w$, where $l$ is the length and $w$ is the width. Here, $l = 280$ yards and $w = 200$ yards. So, $A=280\times200 = 56000$ square yards.

Answer:

D. 56,000