Use the formula for the area of a Trapizoid A = h( b1 + b2 / 2), where A is area , b1 and b2 are the length of the bases, and h is the height, to answer the question. How many square feet of grass are there on a Trapezoidal feild with a height of 75 ft and bases of 125 ft and 81 ft.

Guest Jan 30, 2018

#1**+3 **

The area formula of a trapezoid is given \(A=h\left(\frac{b_1+b_2}{2}\right)\)

The problem also tells you the following information:

A = unit of area (in a square unit like square feet)

b_1 = one base

b_2= other base

h = perpendicular height

The order in which you substitute the bases are immaterial in this case since addition abides by the commutative and associative properties.

If the questions asks for "how many square feet," this is the unknown. Square feet is indeed a unit of area, so this would be A in the formula above. We don't know what "A" is yet, but we will solve for it. The question directly states the other variables' meaning.

A = unknown area in square feet

b_{1}= 125ft

b_{2 }= 81ft

h = 75ft

All this information has been nicely synthesized, and we have established the meaning of every single variable in the original formula. Now, we must use the formula to figure out the unknown or the area in square feet:

\(A=h\left(\frac{b_1+b_2}{2}\right)\) | We know what the variables equal already, so plug them in. |

\(A=75\text{ft}*\frac{125\text{ft}+81\text{ft}}{2}\) | Now it is a matter of simplifying. |

\(A=75\text{ft}*\frac{206\text{ft}}{2}\) | |

\(A=75\text{ft}*103\text{ft}\) | It is imperative to remember that multiplying two common units result in that unit squared. It is just like multiplying common variables together. |

\(A=7725\text{ft}^2\) | |

TheXSquaredFactor
Jan 30, 2018

#1**+3 **

Best Answer

The area formula of a trapezoid is given \(A=h\left(\frac{b_1+b_2}{2}\right)\)

The problem also tells you the following information:

A = unit of area (in a square unit like square feet)

b_1 = one base

b_2= other base

h = perpendicular height

The order in which you substitute the bases are immaterial in this case since addition abides by the commutative and associative properties.

If the questions asks for "how many square feet," this is the unknown. Square feet is indeed a unit of area, so this would be A in the formula above. We don't know what "A" is yet, but we will solve for it. The question directly states the other variables' meaning.

A = unknown area in square feet

b_{1}= 125ft

b_{2 }= 81ft

h = 75ft

All this information has been nicely synthesized, and we have established the meaning of every single variable in the original formula. Now, we must use the formula to figure out the unknown or the area in square feet:

\(A=h\left(\frac{b_1+b_2}{2}\right)\) | We know what the variables equal already, so plug them in. |

\(A=75\text{ft}*\frac{125\text{ft}+81\text{ft}}{2}\) | Now it is a matter of simplifying. |

\(A=75\text{ft}*\frac{206\text{ft}}{2}\) | |

\(A=75\text{ft}*103\text{ft}\) | It is imperative to remember that multiplying two common units result in that unit squared. It is just like multiplying common variables together. |

\(A=7725\text{ft}^2\) | |

TheXSquaredFactor
Jan 30, 2018