Kani D.

asked • 12/06/19# The area of the rectangle is 50 yd2. What is the length of side y?

## 2 Answers By Expert Tutors

Ari S. answered • 12/06/19

Certified SAT Math Teacher

Since the area of a rectangle is Length * Width, we can represent this as Area = X * Y. Then, if area = 50, we can write this as: X * Y = 50. Dividing both sides by X gives the final answer of Y = 50 / X.

**The area of the rectangle is 50 yd2. What is the length of side y?**

First I want to assume that the following is the right question:

**The area of the rectangle is 50 yd². What is the length of side y?**

RECTANGLE

**Rectangle**. A 4-sided flat shape with straight sides where all interior angles are right angles (90°). Also opposite sides are parallel and of equal length. **Example**: A square is a special type of **rectangle**.

Rectangle |

The **formula** is: A = L * W where A is the **area**, L is the length, W is the width, and * means multiply.

The area of a rectangle is the length times the width because you are calculating the square units of a rectangle. A square unit is simply a 1 x 1 units. Therefore, multiplying the total number of unit squares in the length of a rectangles by the total number of squares in the width of the rectangle give you the total number of squares 1 x 1 on the rectangle.

EXAMPLE?

YES

Consider a rectangle of length 5 units and width 3 units. We can divide this rectangle into unit squares:

Each of those squares are 1x1=1

If we gave value to length and width ( in case we said that length = 5 and width = 3 ) and we have or you have been introduced to geometry and look up the formula for finding the area ( which was Area = Length x Width or A=LxW ( using Symbols ) then the

**AREA OF TOP EXAMPLE OF RECTANGLE**

A = **L x W**

**A= 3 x 5**

**15 = 3 x 5**

**Area would be 15 unit squares ( flat view from top each 1x1 = 1 discussed earlier totaled 15 ).**

**YOUR QUESTION?**

**The area of the rectangle is 50 yd². What is the length of side y?**

Area of rectangle is length times width:

A=L(W)

50=L(W)

The width is 1/2 the length:

W=L/2

Substitute. Replace the W in the first equation with L/2:

50=L(W)

50=L(L/2)

50=L²/2

100=L²

10=L

Plug in 10 for L in either equation to solve for W:

W=L/2

W=10/2

W=5

The length is 10yd, and the width is 5yd

**IF WE SUBSTITUTE**

**LET A = AREA**

**LET L = Y OR LENGTH**

**LET W = WIDTH**

LET US SOLVE

A=LxW

A=YxW

SOLVE FOR Y

50Yd² / W = Y

50Yd² / 10Yd = 5 Yd

Y = 5 Yd

Y equals 5 yards if width equals 10 yards and 5 yd x 10 yd equals 50 yd²

**LOOK UP ROWS AND COLUMNS**

**UNITS**

**TAKEA SECOND LOOK AT RECTANGLE ABOVE**

**DRAW ANOTHER RECTANGLE**

**EACH UNIT IS 1 ( LITTLE SQUARES )**

**DRAW 5 ROWS**

**DRAW 10 SQUARES ON EACH ROW**

**YOU WILL SEE THAT YOU HAVE 50 UNIT SQUARES**

**UNTIL THEN**

P.S.

The **area** of a rectangle (A) is related to the **length** (L) and **width** (W) of its sides by the following relationship: A = L ⋅ W. If you know the **width**, it's easy to **find** the **length** by rearranging this equation to get L = A ÷ W. If you know the **length** and want the **width**, rearrange to get W = A ÷ L. formula that can help?

You can also give values to parts of rectangle.

Y = A/W

The answer can be several depending on value of unknowns.

Variables are unknowns

Y substituted for L ( Length ) can be

1,2,5,10,50

Remember

Most tests are multiple choice

Use the statement, reason, given, definitions, substitutions, algebra, and look at formulas.

CHECK YOUR ANSWERS?

SUBSTITUTE ANSWERS TO ORIGINAL CHALLENGE QUESTION

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Cynthia B.

12/06/19