The yard behind the Cindy’s house is rectangular in shape and has a perimeter of 72 feet. If the length l of the yard is 18 feet longer than the width w of the yard, what is the area of the yard, in square feet?

Answers

Answer 1

Answer: let
L----------> the length of the yard
W--------> the width l of the yard

we know that
the perimeter is equal to
$P=2*[W+L]$
$72=2*[W+L] \n 36=W+L$ --------> equation 1
$L=W+18$ ------> equation 2
substitute equation 2 in equation 1
$36=W+18+W \n 36=2W+18 \n W=(36-18)/2$
$W=9 ft$
$L=W+18 \n L=9+18 \n L=27 ft$

we know that
Area of the rectangular yard is equal to
$A=L*W \n A=27*9 \n A=243 ft^(2)$

Answer 2

Answer:

Answer:

$2187\text{ ft}^2$

Step-by-step explanation:

Let l be the length and w be the width of yard behind Cindy's house.

We have been given that the length of the yard is 18 feet longer than the width of the yard. We can represent this information in an equation as:

$l=w+18...(1)$

We have been also given that the perimeter of the yard is 72 feet. Since perimeter of a rectangle is 2 times the sum of its length and width, so we can represent this information in an equation as:

$2(l+w)=72...(2)$

Dividing both sides of equation (2) by 2 we will get,

$l+w=36...(2)$

Substituting equation (1) in equation (2) we will get,

$w+18+w=36$

$2w+18=36$

$2w+18-18=36-18$

$2w=18$

$(2w)/(2)=(18)/(2)$

$w=9$

Upon substituting $w=9$ in equation (1) we will get,

$l=9+18$

$l=27$

$\text{Area of rectangle}=l\cdot w$

$\text{Area of rectangle}=27\text{ yards}\cdot 9\text{ yards}$

$\text{Area of rectangle}=243\text{ yards}^2$

Now, we need to convert the area of rectangle form square yards to square feet.

$1\text{ yards}^2=\text{9 foot}^2$

$243\text{ yards}^2=243* \text{9 foot}^2$

$243\text{ yards}^2=2187\text{ foot}^2$

Therefore, the area of yard behind Cindy's house is 2187 square feet.

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Slope of a graph

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Answers

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What is Binomial Multiplication ?

Binomial Multiplication follows FOIL method , Firsts , Outer terms , Inner Terms , Last Terms.

A rectangle is given and area of the rectangle has to be determined by splitting it into smaller rectangles.

Let the rectangle is of 5*3 ft

To determine the area the rectangle has been split into rectangles of 15 rectangles as seen in the figure attached.

Area of the smaller rectangle is given by Length * Breadth = 1*1

Let us consider x = 1

Then

The side of the rectangle will be ( x+4) ( x+2)

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x² + 6x +8

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Say you have a big rectangle. You can split that big rectangle up into little rectangles, say unit rectangles whose areas are 1, and then count up all those little rectangles to find the area of the larger rectangle. So for instance:
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