Q:

# Please help. It would mean a lot, I am very much confused...An enclosed field is made up of three sections:• One section is a 10-yard by 10-yard square.• Another section is a larger square.• A third section is rectangular with a width of 10 yards. It shares a side with the larger square.The total area of the enclosed field is 975 square yards.Part 1What is the area, in square yards, of the smallest section? (Use only the digits 0 – 9 to enter a number.)Part 2What is the area, in square yards, of the largest section? (Use only the digits 0 – 9 to enter a number.)Part 3What is the area, in square yards, of the remaining section? (Use only the digits 0 – 9 to enter a number.)

Accepted Solution

A:
Answer:1) 100 square yards2) 625 square yards3) 250 square yardsStep-by-step explanation:Let's say x is the side length of the larger square.That means the area of the larger square is x², and the area of the rectangle is 10x.  The area of the smaller square is 100 square yards.Since the total area is 975 square yards:x² + 10x + 100 = 975x² + 10x − 875 = 0(x − 25) (x + 35) = 0x = 25 or -35x can't be negative, so x = 25 yards.Part 1) The smallest section is the small square.  Its area is 100 square yards.Part 2) The largest section is the large square.  Its area is 25² = 625 square yards.Part 3) The third section is the rectangle.  Its area is 25×10 = 250 square yards.