Original:
<span>The width and length of a rectangle are consecutive odd integers
</span>so W = x and L = x + 2
<span>If the length is increased by 5 feet, then new L = x + 2 + 5 = x + 7
</span>
A = L x W
60 = (x + 7) x
60 = x^2 + 7x
x^2 + 7x - 60 = 0
(x - 5)(x + 12) = 0
x = 5 and x = -12
From here you have x = W = 5 ft and L = x + 2 = 5 + 2 = 7 feet
Area of original = 5 x 7 = 35
answer
<span>the area of the original rectangle: </span>35 ft^2
Answer:
With a 5-digit number, you have 5 choices for the first digit. There will be 4 digits left so you have 4 choices for the second digit. After you have chosen the first 2 digits there will be 3 remaining so you will have 3 choices for the third digit. Hence there are 2 choices for the fourth digit and only 1 choice for the fifth digit. Thus you have made 5 × 4 × 3 × 2 1 = 120 choices and there are 120 possible 5 digit numbers made from 1, 2, 3, 2 and 1
The answer to the question is 1/27
Answer:
You have 1.07 acres in this building lot and you can only build 2 houses.
Step-by-step explanation:
You are looking at a 260 foot by 180 foot building lot to subdivide and build two houses.
We are given that 1 acre = 43,560 square feet.
In this building plot (260 foot by 180 foot), the area is:
260 * 180 = 46,800 square feet
Hence, the number of acres we have in this lot is:
Since your town requires 1/2 acre to build a house, the number of houses that you can build on it will be:
Since the number of houses can only be whole number, we approximate to nearest whole number ≅ 2 houses.
You have 1.07 acres in this building lot and you can only build 2 houses.
