Question

A rectangular dog bed has an area of 720 square inches. The width of the bed is 6 inches shorter than the length.

Answer 1

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Step-by-step explanation:

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Answer 2

Answer:

The required equation is  $L(L-6)=720$ and the length is 30 inches and width is 24 inches.

Step-by-step explanation:

Given : A rectangular dog bed has an area of 720 square inches. The width of the bed is 6 inches shorter than the length.

To find : Create and solve for an equation, that represents the area of the bed, that can be used to determine the length and width of the bed ?

Solution :

Let the length be 'L' and width be 'W'.

The width of the bed is 6 inches shorter than the length.

i.e. $W=L-6$

The area of the rectangular dog bed is $A=L\times W$

Substitute the value,

$720=L\times (L-6)$

$L^2-6L-720=0$

$L^2-30L+24L-720=0$

$L(L-30)+24(L-30)=0$

$(L-30)(L+24)=0$

$L=30,-24$

Reject L=-24 (as dimensions are not negative)

The length is 30 inches.

The width is 24 inches.

Therefore, the required equation is  $L(L-6)=720$ and the length is 30 inches and width is 24 inches.