The length of a rectangular garden is 22 feet longer than its width. If the area of the garden is 408 square feet, what are the
2 answers:
Answer:
Length = 34
Width = 12
Step-by-step explanation:
Let the lenght of the garden be denoted by L, and let the width of the gardne be denoted by W.
The length of a rectangular garden is 22 feet longer than its width: L=W+22
The area of the garden is 408 square feet: A=LW=408
SubW+22<em> </em> in for L in the equation LW=408 :
<em>LW=408</em>
<em>(W+22)W=408</em>
+22W-408=0
(W-12)(W+34)=0
So we have W=12 and W=-34. However, W can't be equal to -34 as width can't be negative. Therefore, the width of the garden is 12feet.
L=W+22=12+22=34. The length of the garden is 34feet.
You might be interested in
Answer:
The side s has a length of 4 and side q has a length of 4 ⇒ F
Step-by-step explanation:
In the 30°-60°-90° triangle, there is a ratio between its sides
side opp (30°) : side opp (60°) : hypotenuse
1 : : 2
In the given triangle
∵ The side opposite to 30° is s
∵ The side opposite to 60° is q
∵ The hypotenuse is 8
→ Use the ratio above to find the lengths of s and q
side opp (30°) : side opp (60°) : hypotenuse
1 : : 2
s : q : 8
→ By using cross multiplication
∵ s × 2 = 1 × 8
∴ 2s = 8
→ Divide both sides by 2
∴ s = 4
∴ The length of s is 4
∵ q × 2 = × 8
∴ 2q = 8
→ Divide both sides by 2
∴ q = 4
∴ The length of q is 4
Answer:
He must charge minimum £0.84 for one hot dog.
Step-by-step explanation:
Ingredients cost for hot dogs at the supermarket,
Price of dog sausages tin of 8 = 50p ≈ £0.5
Price of dog bun packs of 6 = 90p ≈ £0.90
Number of tins required for 150 hot dogs = = 6.25
So student will purchase 7 tins.
Cost of 7 tins = 7 × 0.5
= £3.5
Number of dog buns packets required = = 25
Cost of 25 packs = 25 × 0.9
= £22.5
Total cost of the material used for 150 buns = 22.5 + 3.5
= £26.0
Let the selling price of each hot dog = £x
Then selling price of 150 hot dogs = £150x
Students wants the profit = £100
So, Selling price - Cost price = profit
150x - 26 = 100
150x = 126
x =
x = £0.84
Therefore, he must charge minimum £0.84 for one hot dog.