Gardens

The garden has the square shape with circumference 124 m. Divide it into two rectangular gardens, one should circumference 10 meters more than the second. What size will have a gardens?

Result

a =  31 m
b =  18 m
c =  31 m
d =  13 m

Solution:

a = 124/4
c = a
2(a+b) = 10+2(c+d)
b+d = a

4a = 124
a-c = 0
2a+2b-2c-2d = 10
a-b-d = 0

a = 31
b = 18
c = 31
d = 13

Calculated by our linear equations calculator.

Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...): Be the first to comment! To solve this verbal math problem are needed these knowledge from mathematics:

Do you have a linear equation or system of equations and looking for its solution? Or do you have quadratic equation?

Next similar math problems:

1. Garden plot Calculate how many meters of fence need to fence the square garden with length and width of 22 meters.
2. Square into three rectangles Divide the square with a side length of 12 cm into three rectangles with have the same circumference so that these circumferences are as small as possible.
3. Unknown number 24 I think the number: a - is the same as the square area that has the 12th circumfence. What is this number? b - its half is 7 times bigger than its quarter. Is this the number?
4. Rectangle Calculate perimeter of the rectangle with sides a=2.4 m and b=1.9 m.
5. Foot in bus It was 102 people on the bus. 28 girls had two dogs. A 11 girls had one dog. At the next stop seceded 5 dogs (even with their owners). They got two boys together with three dogs. The bus drove one driver. How many foot were in bus?
6. Rectangle The length of one side of the rectangle is three times the length of the second side. What are the dimensions of the rectangle if its circumference 96 cm?
7. Six te 2 If 3t-7=5t, then 6t=
8. If-then equation If 5x - 17 = -x + 7, then x =
9. Popsicles Francis went to buy ice lollies. If he buy 8 popsicles he missed 4 USD. When he buy 7 popsicles, got back 1 USD. How many USD was a popsicle?
10. Eq1 Solve equation: 4(a-3)=3(2a-5)
11. Forest nursery In the forest nursery after winter, they found that 1/10 stems died out of them. For them, they land 193 new spruces. How many spruces are in the forest nursery?
12. Addition of Roman numbers Added together and write as decimal number: LXVII + MLXIV
13. Benches The park has 64 benches. Occupied are by 18 more than empty. How many benches are occupied and empty ?
14. Simple equation 8 Solve the following equation: 36=-(1+7x)-6(-7-x)
15. Cages Honza had three cages (black, silver, gold) and three animals (guinea pig, rat and puppy). There was one animal in each cage. The golden cage stood to the left of the black cage. The silver cage stood on the right of the guinea pig cage. The rat was in the
16. Apples 3 Julka has 5 apples more than Hugo and four apples less than Annie. Hugo has 17 apples. How many apples has Julka and how Annie?
17. Pets in ZOO The zoo have run for pets. They are chickens, pigs and cow. Altogether there has 20 heads and 60 feet. How many chickens and piglets are there?