Question

Rectangle HYGT has a perimeter of 170 inches. If the length is 10x - 7

Answer 1

Answer:

The wide of the rectangle = 42 inches

The  length of the rectangle = 43 inches

Step-by-step explanation:

Step(i):-

Given that the length of the rectangle = 10x-7

Given that the width of the rectangle = 6x +12

The perimeter of the rectangle = 2(length + width)

Given that the perimeter of the rectangle = 170

Step(ii):-

    2(length + width) = 170

        length + width = 85

        10x-7 +6x +12 =85

          16x +5 = 85

           16x = 85-5 = 80

             x =    $\frac{80}{16}$

             x = 5

Final answer:-

The  length of the rectangle = 10(5)-7 = 50-7 = 43

The wide of the rectangle = 6x +12 = 6(5) + 12 = 30+12 =42