Emilie has a lot that she plans to convert into a garden.She needs to add soil that cost P78 per square meter.

Question

02-01-2022
Math

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Emilie has a lot that she plans to convert into a garden.She needs to add soil that cost P78 per square meter.

Sagot :

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Krouztokiidn Krouztokiidn · Answer 1 · 2022-01-02T23:44:54+08:00

✒️MATHEMATICS

SOLUTION :

Let the side of triangular lot be:

a = 4.5m , b = 7.2m , c = 6.8m

Semi - perimeter of the lot:

[tex]S = \frac{a + b + c}{2} [/tex]
[tex]S = \frac{4.5 + 7.2 + 6.8}{2} [/tex]
[tex]S = \frac{18.5}{2} [/tex]
[tex]S = 9.25 [/tex]

Use the herons formula for area of triangle, Area of the lot is:

[tex]Area= \sqrt{s(s - a)(s - b)(s - c)} [/tex]
[tex]Area=\sqrt{9.25(9.25 - 4.5)(9.25 - 7.2)} [/tex] [tex] \sqrt{(9.5 - 6.8)} [/tex]
[tex]Area= \sqrt{9.25(4.75)(2.05)(2.45)} [/tex]
[tex]Area= {\boxed{\green{\sf{14.855m {}^{2} }}}}[/tex]

If cost of soil = ₱78/m² , then cost to cover the area is:

Cost = Area × ₱78/m²
Cost = 14.855[tex]\cancel m {}^{2}[/tex] × ₱78/[tex]\cancel m {}^{2}[/tex]
Cost = [tex]{\boxed{\green{\sf{₱1158.69 }}}}[/tex]

ANSWER :

Therefore, the cost of the soil needed to cover the area is ₱1158.69.

Btw Hàppy new year!

#CarryOnLearning

Sagot :

✒️MATHEMATICS

SOLUTION :

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