Let’s commit this equation to memory so that we can slay any trapezoid questions on test day with ease! In a trapezoid, let’s remember that the two bases are parallel to each other, and the height is the side that is perpendicular to both bases. While we likely knew the equation for the area of a square, the equation for the area of a trapezoid is a little less well-known: The correct answer is C, the two quantities are equal. $\Area \Trapezoid$Īh! So both quantities have the value of $24$, so they are equal to each other. Now let’s solve for Quantity B, the area of the trapezoid. So Quantity A, the area of the rectangle, has the value $24$. Now we have enough information to solve for both areas, so let’s get to it! Solve the Questionįirst, solving for Quantity A we get: $\Area \Rectangle$ Using this info, we can see that the two bases have lengths of $5$ and $7$, respectively, and the height has a length of $4$. In trapezoids, the two bases must be parallel to each other, and the height is the side perpendicular (forming a $90°$ angle) to both of the bases. Ah, we learned this when we learned about areas of quadrilaterals. We see that rectangle $ABCD$ has a length and width of $3$ and $8$, so we definitely have enough information to calculate its area. Thinking of equations for areas of quadrilaterals, we do know that: Starting with Quantity A, we want to know the area of rectangle $ABCD$. Let’s start with a top-down approach, where we will begin with what we’re looking for and work down to the details of what we’re given in this question.
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However, we should feel free to quickly redraw these figures on our scrap paper, as it’s hard to write on the computer test screen (and frowned upon by the test proctors). So we can skip the valuable step of creating figures for most geometry questions. Geometry! Well, at least they were kind enough to give us pictures to play with. We want to compare the area of the square to the area of the trapezoid.
![abcd youtube abcd youtube](https://i.ytimg.com/vi/_UR-l3QI2nE/maxresdefault.jpg)
We’re given a trapezoid, along with the lengths of its bases and height.We’re given a rectangle, along with the lengths of its sides.
![abcd youtube abcd youtube](https://storage.googleapis.com/twg-content/images/2019-02-11_ABCD_Effectiveness_YT_-01_DtPl8RB.width-1200.png)
Let’s carefully read through the question and make a list of the things that we know. We can expect that it tests our knowledge of Quadrilaterals from geometry.
![abcd youtube abcd youtube](https://i.ytimg.com/vi/dj8cT3ebtto/maxresdefault.jpg)
Pay attention to any words that sound math-specific and anything special about what the numbers look like, and mark them on your paper. Let’s search the problem for clues as to what it will be testing, as this will help shift our minds to think about what type of math knowledge we’ll use to solve this question. Those Quadrilateral questions can be kind of tricky, but never fear, PrepScholar has got your back! Survey the Question Buuuut then you had some questions about the quant section-specifically question 3 of Section 4 of Practice Test 1. So, you were trying to be a good test taker and practice for the GRE with PowerPrep online.