ISEE Lower Level Quantitative Reasoning - Quadrilaterals

A square has an area of $16\ in^{2}$ . What is the length of one side?

$\dpi{100} 4\ inches$

$\dpi{100} 2\ inches$

$\dpi{100} 8\ inches$

$\dpi{100} 16\ inches$

Explanation

You can find the area of a square by multiplying two sides together. All of the sides of a square are equal. In this case, $\dpi{100} 4\times 4=16$ , so the length of all of the sides of the square is 4 inches.

Angela has a garden that she wants to put a fence around. How much fencing will she need if her garden is by

Explanation

The fence is going around the garden, so this is a perimeter problem.

What is the length of a rectangular room with a perimeter of and a width of

Explanation

We have the perimeter and the width, so we can plug those values into our equation and solve for our unknown.

Subtract from both sides

Divide by both sides

$\frac{50}{2}=\frac{2l}{2}$

What is the area of the figure below?

Explanation

To find the area of the figure above, we need to slip the figure into two rectangles.

6.5

Using our area formula, $A=l\times w$ , we can solve for the area of both of our rectangles

$A=7\times 12$ $A=7\times 5$

To find our final answer, we need to add the areas together.

What is the area of the figure below?

Explanation

To find the area of the figure above, we need to slip the figure into two rectangles.

3.5

Using our area formula, $A=l\times w$ , we can solve for the area of both of our rectangles

$A=11\times 3$ $A=3\times 3$

To find our final answer, we need to add the areas together.

What is the area of the figure below?

6.5

Explanation

To find the area of the figure above, we need to slip the figure into two rectangles.

6.5

Using our area formula, $A=l\times w$ , we can solve for the area of both of our rectangles

$A=5\times 10$ $A=5\times 3$

To find our final answer, we need to add the areas together.

What is the perimeter of the rectangle below?

Screen shot 2015 09 29 at 8.31.53 am

Explanation

The formula for perimeter of a rectangle is

To solve for the perimeter we can plug our known values into the equation.

The perimeter of a triangle is 14 inches. One side is 4 inches long. Another side is 5 inches long. How long is the 3rd side?

$5\ inches$

$2\ inches$

$\dpi{100} 4\ inches$

$6\ inches$

Explanation

Add up all of the sides of a triangle to get the perimeter. Here, 2 of the sides add up to give you 9 inches. The third side must equal the difference between 14 inches and 9 inches.

$14-9=5\ inches$