Question

A scale drawing of a rectangular park is 5 inches wide and 7inches long. The actual park is 280 yards long. What is the area of the actual park, in square yards?

Answer 1

280÷7=40. 280-80 = 200. 200×280=5,600 Length divided by scale length to find the amount that each inch scale size equals 40 yards per inch. 5 inches equals 200 yards Then multiply length times width. 200x280=5,600 yds  

Answer 2

Answer: 56,000 square yards.

Step-by-step explanation:

Given : A scale drawing of a rectangular park is 5 inches wide and 7 inches long.

The actual park is 280 yards long.

Let x be the width of the actual park.

We know that the dimensions of scale drawing and the actual figure are proportional.

$\Rightarrow\dfrac{\text{Length in drawing}}{\text{Length in actual park}}=\dfrac{\text{width in drawing}}{\text{width in actual park}}\\\\=\dfrac{7}{280}=\dfrac{5}{x}\\\\\Rightarrow\ x=\dfrac{5\times280}{7}=200$

thus , width of actual park = 200 yards

Area of actual park =  Length x width

=280 x 200 = 56,000 square yards.

Hence, area of actual park is 56,000 square yards.