Answer:
Option D
Step-by-step explanation:
By applying Pythagoras theorem in triangle ABC,
(Hypotenuse)²= (Leg 1)² + (Leg 2)²
AC² = AB² + BC²
AC² = (40 - 15)² + (80 - 75)²
AC² = (25)² + 5²
AC² = 650
AC = √650
AC = 25.495 ft
Since, area of a rectangle = Length × Width
Therefore, area of the garden = 25.495 × 6
= 152.97
≈ 153 ft²
Since, 150 is very close to 153, approximate area of the rectangular garden is 150 ft².
Option D is the answer.
Answer:
The perimeter of square is increasing by 3.76ft/min and then by 3.4 ft/min.
Step-by-step explanation:
Given that area of square is increasing at a rate of 16 sq ft/min.
Given that final perimeter is 36ft
Perimeter of a square = 4 side = 36
So, side, a' = 9 ft
We know that area of a square is given by the formula:
(If we let side = a units)
Change in area =
So, side got changed from 8.06ft to 9 ft.
So, perimeter when side was 8.06 ft:
Hence, increase in the perimeter when perimeter is 36 ft is = 36 - 32.24 = 3.76 ft
For finding Next increase:
area gets changed from 81 sq ft to 81+16 = 97 sq ft
So, new side = ft = 9.85 ft
Next increase in perimeter = 4 (New side - Old side)
= 4 (9.85 - 9)
= 3.4 ft/min