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mae mowed two lawns. One of them measured $10 \, \text{m}$ by $13 \, \text{m}$ and the other $15 \, \text{m}$ by $10 \, \text{m}$ . Keili's rate is $\$3$ per $10\,\text{m}^2$ . How much money did she get for the two lawns?

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Pythagorean Theorem and its converse

Full solution

Q. mae mowed two lawns. One of them measured

10 \, \text{m}

by

13 \, \text{m}

and the other

15 \, \text{m}

by

10 \, \text{m}

. Keili's rate is

\$3

per

10\,\text{m}^2

. How much money did she get for the two lawns?

Calculate lawn area: Calculate the area of the first lawn. $\newline$ Area = length $\times$ width $\newline$ Area = $10 \, \text{m} \times 13 \, \text{m}$ $\newline$ Area = $130 \, \text{m}^2$
Add lawn areas: Calculate the area of the second lawn. $\newline$ Area = length $\times$ width $\newline$ Area = $15 \, \text{m}$ $\times$ $10 \, \text{m}$ $\newline$ Area = $150 \, \text{m}^2$
Calculate total payment: Add the areas of both lawns to find the total area mowed. $\newline$ Total area = area of first lawn + area of second lawn $\newline$ Total area = $130 \, \text{m}^2 + 150 \, \text{m}^2$ $\newline$ Total area = $280 \, \text{m}^2$
Calculate total payment: Add the areas of both lawns to find the total area mowed. $\newline$ Total area = area of first lawn + area of second lawn $\newline$ Total area = $130 \, \text{m}^2 + 150 \, \text{m}^2$ $\newline$ Total area = $280 \, \text{m}^2$ Calculate the total payment for mowing the lawns. $\newline$ Payment = rate * (total area / area rate) $\newline$ Payment = $\$3 \times (280 \, \text{m}^2 / 10 \, \text{m}^2)$ $\newline$ Payment = $\$3 \times 28$ $\newline$ Payment = $\$84$

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