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soldi70 [24.7K]
3 years ago
11

Monica has a triangular piece of fabric. The height of the triangle is 15 inches and the triangle’s base is 6 inches. Monica say

s that the area of the fabric is 90 square inches . What error did Monica make? Explain your answer.
Mathematics
2 answers:
Ksenya-84 [330]3 years ago
4 0

Answer:

let \: area \: be \: a, \: height \: be \: h, \: base \: be \: b \\ a =  \frac{1}{2} bh \\ a +  \delta \: a =  \frac{1}{2}  \times (b + \delta \: b)(h + \delta \: h) \\ a + \delta \: a =  \frac{1}{2} (bh + b\delta \: h + h\delta \: b + 0) \\  \delta \: a =  \frac{1}{2} (b\delta \: h + h\delta \: b) \\  \frac{\delta \: a}{a}  =  \frac{b\delta \: h + h\delta \: b}{bh}  \\  \frac{\delta \: a}{a}  =  | \frac{\delta \: h}{h} |  +  | \frac{\delta \: b}{b} |  \\  \frac{\delta \: a}{ 90}  =  \frac{0.5}{15}  +  \frac{0.5}{6}  \\ \delta \: a = 10.5 \:  {cm}^{2}

error is 10.5

STALIN [3.7K]3 years ago
4 0

Answer:

10.5

Step-by-step explanation:

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