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: 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.
[tex]\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[/tex]
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.
