The length of a rectangle is (x +5) inches long, and the width is 3 2/5 inches. If the area is 51 square inches . Write and solve and equation to find the length of the rectangle

Length = 15 inches

Step-by-step explanation:

Let L represent the Length, W, the width  and A, the area of the rectangle

from the question;

L = x + 5 eq 1

W = 3 2/5

Changing the value of W into an improper fraction; W = 17/5

A = 51 inches

Area of a rectangle, A = Lenght x Width

                              A  = L X W eq 2

slotting the values of A, L and W in eq 2

51 = (x + 5) X 17/5

51 = ( 17/5x ) + ( 17/5 X 5 )

51 = 17/5x + 17

51 = 17x + 85

            5

Cross multiply

5 X 51 = (17x + 85)X 1

255 = 17x + 85

Subtracting 85 from both sides

255 - 85 = 17x + 85 - 85

170 = 17x

Dividing both sides by the coefficient of x which is 17

10 = x

Therefore, x = 10

Slotting in the value of x in eq 2

L = 10 + 5

L = 15 inches

Let's check our answer by slotting in the values of A, W and L in eq 1

51 = 15 X 17/5

51 = 3 X 17

51 = 51

Since both sides of the equation are equal, the value of L is correct

for the first question it would be the second answer for the second question it would be the third answer and for the third question it would be the first answer

step-by-step explanation:

11 feet 6 inches and 8 feet 6 inches