MATH SOLVE

4 months ago

Q:
# The length of Sally's garden is 4 meters greater than 3 times the width.The perimeter of her garden is 72 meters.Find the dimensions of Sally's gardens

Accepted Solution

A:

Answer:The length is 28 metersThe width is 8 metersStep-by-step explanation:Let x = the length of Sally's gardenLet Y= the width of Sally's garden.The length of Sally's garden is 4 meters greater than 3 times the width. This means that the length is 3Γ the width + 4 meters. The equation isx = 3y + 4The perimeter of her garden is 72 meters. Since the length and the width are not equal, the garden is a rectangle.Perimeter of rectangle = 2(length + width). Therefore,2x + 2y = 72 - - - - - - - - - - -1Substituting x = 3y + 4 into equation 1, it becomes .2(3y + 4) + 2y = 726y + 8 + 2y = 726y + 2y = 72 - 88y = 64y = 64/8 = 8x = 3y + 4x = 3Γ8 + 4 = 24 +4x = 28