MATH SOLVE

3 months ago

Q:
# A rectangle is 5 meters longer than its width. If the length is shortened by 2 meters and width is increased by 1 meter, the area remains the same. Find the area of the rectanel g. The ratio of two numbers is 2:5. If the larger number is 40, what is the smaller number h. Sixteen construction workers can finish cementing a floor of a building in 3 hours.

Accepted Solution

A:

Answer: Area = 6m² Smaller number = 16 Hours = 9.6 hStep-by-step explanation:A rectangle is 5 meters longer than its width. If the length is shortened by 2 meters and width is increased by 1 meter, the area remains the same. Find the area of the rectangle.1) w = x m 2) w = x + 1 m l = x + 5 m l = x + 5 - 2 = x + 3 mA₁ = A₂A = w*lA₁ = x(x+5) = x² + 5xA₂ = (x+1)(x+2) = x² + x + 2x + 2 = x² + 3x + 2A₁ = A₂x² + 5x = x² + 3x + 25x - 3x = 22x = 2x = 1A₁ = x(x+5) = 1.6 = 6 m²The ratio of two numbers is 2:5. If the larger number is 40, what is the smaller number. 2 = x 5 405x = 80x = 80/5 = 16Sixteen construction workers can finish cementing a floor of a building in 3 hours. On a certain day, only 5 construction workers are available for the job. How long will it take the 5 construction workers to do the cementing job?workers hours 16 3 5 x↑ ↓ inversely proportional 5 = 3 16 x5x = 16*3 5x = 48x = 48/5 x = 9.6 h