Answered

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2. Mr. JB has a rectangular lot that measures 550 meters by 0.75 km. What is

the area of the land in square meter. He is selling the whole lot for 206,

250,000 pesos, how much is the price per square meter?

​

Sagot :

CebuMathidn

Answer:

The area of the land in square meters is 412, 500.

500 pesos is the price per square meter of the land.

Step-by-step explanation:

       

                                Word Problem

Since the first question asks for the area of the land in "square meter", we need to convert 0.75 kilometers to meters.

Steps in Converting the Units

  1. Choose the appropriate conversion factors.
  2. Multiply the given unit measure by the conversion factor.
  3. Simplify the product.

                     [tex]0.75\:\text{km}\times\left(\begin{aligned}\text{Conversion}\\\text{Factor}\end{aligned}\right)[/tex]

Now, we know that 1 km = 1000 m, so our conversion factor should be [tex]\frac{1000\:\text{m}}{1\:\text{km}}[/tex]. We intended to have a unit km in the denominator so that during the multiplication process, we can cancel the km unit.

                    [tex]\begin{aligned}0.75\:\text{km}\times\left(\frac{1000\:\text{m}}{1\:\text{km}}\right)&=0.75\times 1000\:\text{m}\\&=750\:\text{m}\end{aligned}[/tex]

The area of a rectangle is given by the formula, [tex]A = l \times w[/tex]. So, to solve for the area, substitute the value of [tex]l=750\:\text{m}[/tex] and [tex]w=550\:\text{m}[/tex] into the area formula then simplify.

                 [tex]\begin{aligned}A&=l\times w\\&=750\:\text{m}\times550\:\text{m}\\&=412, 500\:\text{m}^2\end{aligned}[/tex]

So, the area of the rectangular lot is 412, 500 square meters.

If he is selling the whole land for 206, 250, 000 pesos, then to solve the price per square meter is given by the formula, [tex]C=\frac{\text{Price of the whole land}}{\text{Area of the whole land}}[/tex].

So, to solve for the price per square meter, substitute the price of the whole land and the area of the whole land into the equation.

           [tex]\begin{aligned}C&=\frac{206,250,000}{412,500}\\&\boxed{C=500}\end{aligned}[/tex]

Therefore, the price per square meter is 500 pesos.

To learn more about math applications in real life, go to the links below.

Area Problem: https://brainly.ph/question/3343513

Money Problem: https://brainly.ph/question/2335102

Conversion Unit Problem: https://brainly.ph/question/2729149

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