How to find a square on a coordinate plane

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SSAT Middle Level Quantitative › How to find a square on a coordinate plane

Questions 1 - 8

1

Vt_custom_xy_xyss2

The above square has an area of square units. What fraction of the area of square is in quadrant II?

$\frac{1}{4}$

$\frac{3}{4}$

$\frac{3}{8}$

$\frac{2}{4}$

Explanation

To find the fraction of the entire squares area that lays in quadrant II, notice that the square is taking up an equivalent amount in each of the four quadrants. Thus, $\frac{1}{4}$ of the squares area is in quadrant II.

Also note that the area of the square that lays in quadrant II is square units, thus the problem could have alternatively been solved by reducing $\frac{25}{100}=\frac{1}{4}$ .

2

A square has an area of square units, what is the perimeter?

Explanation

In order to solve this problem, apply the formula , in order to conclude that the length of side must equal for the area to equal .

Once you've found the length of side , apply the formula

$P=4\times8=32$

3

A square has an area of square units, what is the perimeter of the square?

Explanation

In order to solve this problem, apply the formula , in order to conclude that the length of side must equal for the area to equal .

Once you've found the length of side , apply the formula

$P=4\times11=44$

4

Vt_custom_xy_xyss2

Find the area of the square shown above.

Explanation

In order to find the area of the above square, apply the formula: , when equals the length of one side of the square.

Since, the solution is:

$A=10^2=10\times10=100$

Make sure to attach "square units" to your answer!

5

Vt_custom_xy_xy_ss_square1

Find the perimeter of the square shown above.

Explanation

To find the perimeter of this square, apply the formula: , where the length of one side of the square.

Thus, the solution is:

$P=4\times6=24$

6

A square has an area of square units. Find the perimeter.

Explanation

In order to solve this problem, apply the formula , in order to conclude that the length of side must equal for the area to equal .

Once you've found the length of side , apply the formula

$P=4\times12=48$

7

Vt_custom_xy_xy_ss_square1

Find the area of the above square.

Explanation

In order to find the area of the square above apply the formula: , where the length of one side of the square.

Since ,
the solution is $A=6^2=6\times6=36$

8

If a square has an area of square units, what is the perimeter?

Explanation

In order to solve this problem, apply the formula , in order to conclude that the length of side must equal for the area to equal .

Once you've found the length of side , apply the formula .

Thus, the solution is $P=4\times7=28$

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