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Maths-

General

Easy

Question

The areas of rectangles are given. Use factoring to find the expressions for the missing dimensions.

hint Hint:

The area of rectangle is the product of its length and width.

The correct answer is: Width will be Length of left rectangle Length of right rectangle

We have been given a diagram of two rectangles in the question

We have also been given the area of the both rectangle that is-

We have to use factoring to find the expressions for the missing dimensions.

Step 1 of 1:
Left side rectangle has area 9xy² right side rectangle has 12x²y³
One width is common in both the rectangle.
So,
$3 cross times 3 cross times x cross times y squared$
$3 cross times 4 cross times x squared cross times y cubed$
GCF will be $3 cross times x cross times y squared$
So, Width will be 3xy²
Length of left rectangle 3
Length of right rectangle 4xy

Related Questions to study

The area of a rectangle is given. Use factoring to find the expressions for the missing dimensions.

The area of a rectangle is given. Use factoring to find the expressions for the missing dimensions.

Add: 5x² - 8xy + 3y², 4x² + 3xy + 7y², 3x² - 11xy - 8y²

Add: 5x² - 8xy + 3y², 4x² + 3xy + 7y², 3x² - 11xy - 8y²

Use a ruler and protractor to draw an obtuse isosceles triangle. Mark the largest angle and longest side in red and the smallest angle and shortest side in blue. What do you notice?

Use a ruler and protractor to draw an obtuse isosceles triangle. Mark the largest angle and longest side in red and the smallest angle and shortest side in blue. What do you notice?

parallel

The area of a rectangle is given. Use factoring to find the expressions for the missing dimensions.

The area of a rectangle is given. Use factoring to find the expressions for the missing dimensions.

Use a ruler and protractor to draw a right scalene triangle. Mark the largest angle and longest side in red and the smallest angle and shortest side in blue. What do you notice?

Use a ruler and protractor to draw a right scalene triangle. Mark the largest angle and longest side in red and the smallest angle and shortest side in blue. What do you notice?

A farmer wants to plant three rectangular fields so that the widths are the same. The areas of the fields, in square yards, are given by the expressions $12 x squared y comma 9 x y squared$ and $21 x y$ . What is the width of the fields if x =3 and y = 4.

A farmer wants to plant three rectangular fields so that the widths are the same. The areas of the fields, in square yards, are given by the expressions $12 x squared y comma 9 x y squared$ and $21 x y$ . What is the width of the fields if x =3 and y = 4.

parallel

(ii) x² + y², 2x², –3y², 3x² – 4y²

(ii) x² + y², 2x², –3y², 3x² – 4y²

Find the sum of the following expressions.
(i) x + y + z, y – z, x – y, –x + z (ii) x² + y², 2x², –3y², 3x² – 4y²

Find the sum of the following expressions.
(i) x + y + z, y – z, x – y, –x + z (ii) x² + y², 2x², –3y², 3x² – 4y²

Use a ruler and protractor to draw an acute triangle. Mark the largest angle and longest side in red and the smallest angle and shortest side in blue. What do you notice?

Use a ruler and protractor to draw an acute triangle. Mark the largest angle and longest side in red and the smallest angle and shortest side in blue. What do you notice?

parallel

Factor out the GCF from the given polynomial.
$x to the power of 10 minus x to the power of 9 plus x to the power of 8$

Factor out the GCF from the given polynomial.
$x to the power of 10 minus x to the power of 9 plus x to the power of 8$

How can you tell from the angle measures of a triangle which side of the triangle is the longest? The shortest?

How can you tell from the angle measures of a triangle which side of the triangle is the longest? The shortest?

A triangle has one side of 11 inches and another of 15 inches. Describe the possible lengths of the third side.

A triangle has one side of 11 inches and another of 15 inches. Describe the possible lengths of the third side.

parallel

A triangle has one side of length 12 and another of length 8. Describe the possible lengths of the third side.

A triangle has one side of length 12 and another of length 8. Describe the possible lengths of the third side.

(ii) – 3a²b, –17a²b, 8a²b, – 4a²b

(ii) – 3a²b, –17a²b, 8a²b, – 4a²b

Factor out the GCF from the given polynomial.
$15 x cubed y minus 10 x squared y cubed$

Factor out the GCF from the given polynomial.
$15 x cubed y minus 10 x squared y cubed$

parallel

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