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Sagot :
Answer:
5 inches by 25 inches
Step-by-step explanation:
From the question,
Let the width of the baking tray be(w) = x inches,
Then the lenght of the baking tray(l) = (2x+13) inches
If the area of the baking tray = 115 square inches
Applying,
A = lw................. Equation 1
Therefore,
x(2x+13) = 115
2x²+13x = 115
2x²+13x-115 = 0
Using factorization method to solve the quadratic equation
2x²-10x+23x-115 = 0
(2x²-10x)+(23x-115) = 0
2x(x-5)+23(x-5) = 0
(2x+23)(x-5) = 0
Either
2x+23 = 0
x = -23/2
or
x-5 = 0
x = 5.
dimensions of the tray is
w = 5 inches
l = (2×5)+15 = 10+15 = 25 inches
Hence the dimensions of the baking tray = 5 inches by 25 inches
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