Pls the perimeter of the rectangle below is 304ft. what is the value of a

Given the perimeter of the rectangle = 304 ft.

The length of the rectangle given = (9a+10) ft

width of the rectangle given = (8a+6)ft

We know that the formula to find the perimeter of the rectangle is

2(length + width)

So by placing the values of length and width of the rectangle in the formula we will get,

=

We will add like terms now. Here like terms means a with a and constant term with constant term. So we will add 9a and 8a and also 10 and 6.

=

Now we will equate this perimeter with the perimeter given.

Now we have to move 2 to the other side by dividing it to both sides.

We will move 16 now to the other side by subtracting it from both sides.

Now to find a, we have to move 17 to the other side by dividing it to both sides.

So we have got the required answer.

The value of a = 8ft.

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step-by-step explanation:

1+2+3+4+5+6+7+8+9+10 = 55

2*10 = 20

55-20 = 35