49
Answer:
Dimensions of the garden are 24 feet by 8.33 feet.
Step-by-step explanation:
Let the dimensions of the vegetable garden is length = l and width = w foot
Area of the vegetable garden = 200 square feet
Since length of the garden is 1 foot less than the 3 times the width.
l = 3w - 1
Area of the garden = w × l = 200
w(3w - 1) = 200
3w² - w = 200
3w² - w - 200 = 0
By quadratic formula
w =
=
=
w = -8 or 8.33 foot
Since dimensions can not be negative therefore, width of the garden will be 8.33 foot
Since l = 3w - 1
= 3×8.33 - 1
= 25 - 1
= 24
Dimensions of the garden are 24 feet by 8.33 feet
The phrase '10 times as many as 1 ten' simply means making 10 groups that are exactly the size of 1 ten (which is your original amount). Hence, '10 times as many as 1 ten' is equal to ten tens.
In a mathematical perspective, when you have 1 ten and you want to find out what 10 times as many is, you simply multiply your original amount by 10. In this case, if you multiply 1 ten by 10, the product is 100. However, when you look at it in terms of tens, your original amount is simply 1 group of ten, and if you create 10 groups exactly that size, you end up with 10 tens. So 10 times as many as 1 ten is 10 tens.
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