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ISEE Lower Level Math : Quadrilaterals

Study concepts, example questions & explanations for ISEE Lower Level Math

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Example Questions

Example Question #46 : How To Find The Area Of A Square

Find the area of a square with a width of 7cm.

Possible Answers:

$42\text{cm}^2$

$49\text{cm}^2$

$\text{There is not enough information to solve the problem.}$

$28\text{cm}^2$

$56\text{cm}^2$

Correct answer:

$49\text{cm}^2$

Explanation:

To find the area of a square, we will use the following formula:

$A = l \cdot w$

where l is the length and w is the width of the square.

Now, we know the width of the square is 7cm. Because it is a square, all sides are equal. Therefore, the length is also 7cm. So, we get

$A = 7\text{cm} \cdot 7\text{cm}$

$A = 49\text{cm}^2$

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Example Question #1 : How To Find The Area Of A Trapezoid

Calculate the area of the trapezoid:

Possible Answers:

$84\ ft^2$

$48\ ft^2$

$18\ ft^2$

$66\ ft^2$

Correct answer:

$66\ ft^2$

Explanation:

Break the figure into a rectangle and a triangle. Use the dotted line as a guide. The rectangle has a length of 8 and a width of 6. The triangle has a base of 6 and width of 6.

Area of the rectangle:

$A=l\times w$

$A=6\times 8=48\ ft^2$

Area of the triangle:

$A=\frac{1}{2}b\times h$

$A=\frac{1}{2}\times 6\times 6=3\times 6=18\ ft^2$

Add them together:

$A=48\ ft^2+18\ ft^2=66\ ft^2$

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Example Question #1 : Trapezoids

Find the area of the trapezoid:

Question_10

Possible Answers:

Correct answer:

Explanation:

$A=\frac{1}{2}(b_1+b_2)(h)$

$A=\frac{1}{2}(6+10)(4)$

$A=\frac{1}{2}(16)(4)$

A=(8)(4)=32

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Example Question #251 : Quadrilaterals

Set_3

Figure not drawn to scale

Find the area of the trapezoid.

Possible Answers:

$60\ in^{2}$

$72\ in^{2}$

$48\ in^{2}$

$84\ in^{2}$

$122\ in^{2}$

Correct answer:

$72\ in^{2}$

Explanation:

In order to find the area of the trapezoid, we must follow the formula below:

$A=\frac{1}{2}(b_{1}+b_{2})*h$

$b_{1}=$ One of the bases of the trapezoid

$b_{2}=$ The other base of the trapezoid

The height of the trapezoid

In this question, $b_{1}=10\ in$ , $b_{2}=14\ in$ , and $h=6\ in$

$A=\frac{1}{2}(b_{1}+b_{2})*h\rightarrow A=\frac{1}{2}(10+14)*6\rightarrow$

$A=\frac{1}{2}(24)*6\rightarrow$

$A=12*6\rightarrow$

A = 72

By following the formula and order of operations, we are able to solve the problem. The area of the trapezoid is 72 in.²

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Example Question #2 : Trapezoids

A trapezoid has two bases measuring 3cm and 5cm , and a height measuring 4cm

What is its area?

Possible Answers:

$16cm^{2}$

$32cm^{2}$

$40cm^{2}$

$18cm^{2}$

$2cm^{2}$

Correct answer:

$16cm^{2}$

Explanation:

To find the area of a trapezoid, use this formula: $area= \frac{base +base}{2}\times height$ .

Use the information from the question to solve.

$a= \frac{3cm+5cm}{2}\times4cm$

$a=\frac{8cm}{2}\times 4cm$

$a=4cm\times 4cm=16cm^2$

The area is $16cm^{2}$ .

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Example Question #1 : How To Find The Area Of A Trapezoid

In a trapezoid, the top base is equal to 5 and the bottom base is equal to 11. It has a height of 6. What is the area?

Possible Answers:

Correct answer:

Explanation:

The area of a trapezoid is equal to the sum of the bases, divided by 2, and then multiplied by the height:

$Area=\frac{base+base}{2}\cdot height$

$\frac{5+11}{2}\cdot 6$

$\frac{16}{2}\cdot 6$

$8\cdot 6$

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Example Question #1 : Trapezoids

A trapezoid's bases are 6 cm and 8 cm long. It's height is 5 cm . What is the area of this trapezoid?

Possible Answers:

$120 cm^{2}$

$35 cm^{^{2}}$

$70 cm^{2}$

$240 cm^{2}$

$48 cm^{2}$

Correct answer:

$35 cm^{^{2}}$

Explanation:

The formula to calculate the area of a trapezoid is:

$A = \frac{base + base}{2}\times height$

$A = \frac{6cm+8cm}{2cm}\times5cm$

$A= \frac{14cm}{2cm}\times5cm$

$A= 7cm\times5cm$

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Example Question #4 : Trapezoids

Find the area of a trapezoid whose bases are and and height is .

Possible Answers:

120

Correct answer:

Explanation:

To solve, simply use the formula for the area of a trapezoid. Thus,

$A=\frac{1}{2}(B1+B2)h=\frac{1}{2}(4+6)*5=\frac{1}{2}*10*5=25$

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Example Question #5 : Trapezoids

Find the area of a trapezoid with bases and , and height .

Possible Answers:

Correct answer:

Explanation:

To solve, simply use the formula for the area of a trapezoid. Thus,

$A=\frac{1}{2}(b1+b2)h=\frac{1}{2}(5+4)*6=\frac{1}{2}*9*6=27$

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Example Question #6 : Trapezoids

Find the area of the trapezoid.

Possible Answers:

281.5

292.5

305.5

301.5

Correct answer:

292.5

Explanation:

Recall the formula for finding the area of a trapezoid:

$\text{Area}=\frac{base_1+base_2}{2}\times(height)$

Now, plug in the values for the bases and the height to find the area.

$\text{Area}=\frac{9+30}{2}\times(15)=292.5$

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ISEE Lower Level Math : Quadrilaterals

Study concepts, example questions & explanations for ISEE Lower Level Math

All ISEE Lower Level Math Resources

Example Questions

Example Question #46 : How To Find The Area Of A Square

Example Question #1 : How To Find The Area Of A Trapezoid

Example Question #1 : Trapezoids

Example Question #251 : Quadrilaterals

Example Question #2 : Trapezoids

Example Question #1 : How To Find The Area Of A Trapezoid

Example Question #1 : Trapezoids

Example Question #4 : Trapezoids

Example Question #5 : Trapezoids

Example Question #6 : Trapezoids

All ISEE Lower Level Math Resources

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