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andriy [413]
4 years ago
9

An ecology center wants to set up an experimental garden using 300m of fencing to enclose a rectangular area of 5000m^2. Find th

e dimensions of the garden
Mathematics
1 answer:
Hunter-Best [27]4 years ago
5 0
P = 2(L+W) where L = Length and W = Width.A = L*WYou are given that P = 300m and A = 5000 sq.m. so plug these values into the two equations thus:300 = 2(L+W)5000 = L*WNow you have a system of equations with two unknowns.Solve equation 1a) for LL = 150-W now substitute this into equation 2a) and solve for W.5000 = (150-W)*W Simplify this.W^2-150W+5000 = 0 This quadratic equation can be solved by factoring, so...(W-100)(W-50) = 0So W = 100 or W = 50Now we need to find L and we can use equation 1b.L = 150 - W and, if W = 50m, then:L = 100m or, if W = 100m, then:L = 50m.The dimensions of the garden are: 100m by 50m
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During a long drive, Tony counted the number of pickups and sedans he saw driving in the opposite direction. After a while, he n
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3 years ago
Solve de system by elimination. x-5y=3 4x-4y=12​
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3 years ago
2x3 is 2, then what is the value of x
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4 0
3 years ago
Joseph's uncle wants to put shingles on the outside walls and solar panel the roof of his barn shown at the right. It costs $2.5
sp2606 [1]

Answer:

The answer is below

Step-by-step explanation:

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Area of roof = 2 (5 * 9) = 90 m²

Since solar panels cost $4.00 per square meter, therefore:

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The area of the front wall of the barn = (8 m * 7 m) + (1/2 * 8 m * 3 m) - (4 m * 4 m) = 52 m²

The area of the back wall of the barn = (8 m * 7 m) + (1/2 * 8 m * 3 m) = 68 m²

Area of each side wall of barn = 9 m * 7 m = 63 m²

Total area of wall = 52 m² + 68 m² + (2 * 63 m²) = 246 m²

Cost of shingles = $2.50 for each square meter * 246 m² = $615

Total cost of project = $615 + $360 = $975

5 0
3 years ago
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