Solve by completing the square: a rectangular patio has a length of x+6m, a width of x+8m, and the total area of 400 m^2. find the dimensions to the nearest tenth

Length of the rectangular patio = (x + 6) m

width of the rectangular patio = (x +8)m

Area of rectangle=Length*Width.

400=(x+6)(x+8)

400=+14x+48

For completing square, first add - 48 on both side

400 - 48 = +14x

352 = +14x

To make a complete square add the third term =

a= 1 and b= 14

Third term =

Third term = 49

Now add 49 in both side of the equation

352 + 49 = +14x + 49

401 =

Taking square root on both sides

We can not consider the negative value

so x + 7 = 20.02

x = 20.02 -7

x= 13.02

Length of the rectangular patio = (x + 6) = 13.02 + 6 = 19.02 m

width of the rectangular patio = (x +8) = 13.02 + 8 = 21.02 m

answer: the value should be used for i in the formula of calculation the monthly payment , the interest rate per period is 0.85.

step-by-step explanation:

the given rate of interest i= 85%

in calculating the monthly payment for a loan with an interest rate compounded monthly, the value of the interest rate per period we use in the formula must be in decimal form.

to convert it in decimal, we divide it by 100, we get

hence, the value should be used for i in the formula of calculation the monthly payment , the interest rate per period is 0.85.

step-by-step explanation:

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