# Garden

Area of a square garden is 6/4 of triangle garden with sides 56 m, 35 m, and 35 m.

How many meters of fencing need to fence a square garden?

Result

x =  119 m

#### Solution:

$S_{ \square} = \dfrac{ 6 } 4 S_{\triangle} \ \\ a^2 = \dfrac{ 6 } 4 \cdot \dfrac{ 1 } {2 } \cdot 56 \cdot \sqrt{ 35^2- \dfrac{ 56^2 } { 4 } } = 882 \ m^2 \ \\ a = 29.7 \ m \ \\ S_{ \square} = 882 \ m^2 \ \\ S_{ \triangle} = 588 \ m^2 \ \\ \ \\ x = 4a = 119 \ \text { m }$

Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...):

Be the first to comment!

#### Following knowledge from mathematics are needed to solve this word math problem:

Do you have a linear equation or system of equations and looking for its solution? Or do you have quadratic equation? Pythagorean theorem is the base for the right triangle calculator. Do you want to convert length units? See also our trigonometric triangle calculator.

## Next similar math problems:

1. Rectangular cuboid
The rectangular cuboid has a surface area 5334 cm2, its dimensions are in the ratio 2:4:5. Find the volume of this rectangular cuboid.
2. Root
The root of the equation ? is: ?
3. Floating of wood - Archimedes law
What will be the volume of the floating part of a wooden (balsa) block with a density of 200 kg/m3 and a volume of 0.02 m3 that floats in alcohol? (alcohol density is 789 kg/m3)
4. 45th birthday
This year Mrs. Clever celebrated her 45th birthday. Her three children are now 7.11 and 15 years old. In how many years will Mrs. Clever's age be equal to the sum of her children's years?
5. Forestry workers
In the forest is employed 56 laborers planting trees in nurseries. For 8 hour work day would end job in 37 days. After 16 days, 9 laborers go forth? How many days are needed to complete planting trees in nurseries by others, if they will work 10 hours a d
6. Bonus
Gross wage was 527 EUR including 16% bonus. How many EUR were bonuses?
7. Motion problem
From Levíc to Košíc go car at speed 81 km/h. From Košíc to Levíc go another car at speed 69 km/h. How many minutes before the meeting will be cars 27 km away?
8. Hands
The clock shows 12 hours. After how many minutes will angle between the hour and minute hand 90°? Consider the continuous movement of both hands hours.
9. Excavation
Mr. Billy calculated that excavation for a water connection dig for 12 days. His friend would take 10 days. Billy worked 3 days alone. Then his friend came to help and started on the other end. On what day since the beginning of excavation they met?
10. Store
One meter of the textile was discounted by 2 USD. Now 9 m of textile cost as before 8 m. Calculate the old and new price of 1 m of the textile.
11. Dividing money
Vilem, Cenek, and Edita divided the money they earned by spreading the leaflet. Vilem got 240 CZK more than Cenek and twice more than Edita. Edita got 400kc less than Vilem.