Rectangular garden

The perimeter of Peter's rectangular garden is 98 meters. The width of the garden is 60% shorter than its length.
Find the dimensions of the rectangular garden in meters.
Find the garden area in square meters.

Result

a =  35 m
b =  14 m
S =  490 m2

Solution:

$o=98 \ \text{m} \ \\ b=a - 0.60a \ \\ \ \\ o=2(a+b) \ \\ \ \\ \ \\ o=2 \cdot \ (a+(a - 0.60 \cdot \ a)) \ \\ \ \\ 98=2 \cdot \ (a+(a - 0.60 \cdot \ a)) \ \\ \ \\ 2.8a=98 \ \\ \ \\ a=35 \ \\ =35 \ \text{m}$
$b=a - 0.60a=35 - 0.60 \cdot \ 35=14 \ \text{m}$
$S=a \cdot \ b=35 \cdot \ 14=490 \ \text{m}^2$

Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!

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

Be the first to comment!

Tips to related online calculators
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. Rectangular field
One dimension of the rectangular field is 56 m greater than second dimension. If each side of the rectangle increases by 10 m, increases the surface field is 1480 m2 . Determine dimencions of the field.
2. Percentage and rectangle
About what percentage increases perimeter and area of a rectangle if both the sides 12 cm and 10 cm long we increase by 20%?
3. The Chemistry test
The Chemistry test contained 8 questions, each with 3 points. Peter scored 21 points. How many percent did Peter write a test?
4. Theatro
Theatrical performance was attended by 480 spectators. Women were in the audience 40 more than men and children 60 less than half of adult spectators. How many men, women and children attended a theater performance?
5. Percents
How many percents is 900 greater than the number 750?
6. Schools
Three schools are attended by 678 pupils. To the first attend 21 students more and to the third 108 fewer students than to second school. How many students attend the schools?
7. Two workers
Two workers make 138 parts/items. The first one produces 30% more than the second. How many items will each produce?
8. Unknown number
15% of the unknown number is 18 less than 21% of the same number. What is the unknown number?
9. Blackberries
Daniel, Jolana and Stano collected together 34 blackberries. Daniel collected 8 blackberries more than Jolana, Jolana 4 more than Stano. Determine the number blackberries each collected .
10. Percentages
52 is what percent of 93?
11. Cinema tickets
Cinema sold 180 tickets this Thursday, which is 20%. Monday 14%, Tuesday 6%, Wednesday 9%, Friday 24%, Saturday 12%, and Sunday 15%. How many tickets were sold per week?
12. Substitution
solve equations by substitution: x+y= 11 y=5x-25
13. Trees
Along the road were planted 250 trees of two types. Cherry for 60 CZK apiece and apple 50 CZK apiece. The entire plantation cost 12,800 CZK. How many was cherries and apples?
14. Sale off
The TV went down 10% and then 10% off the original price again. Now it costs 300 €. What was its original price?
15. Rabbits 3
Viju has 40 chickens and rabbits. If in all there are 90 legs. How many rabbits are there with Viju?
16. Belgium vs Italy
Belgium played a match with Italy and Belgium win by 2 goals. The match fell a total 6 goals. Determine the number of goals scored by Belgium and by Italy.
17. Highway repair
The highway repair was planned for 15 days. However, it was reduced by 30%. How many days did the repair of the highway last?