The length of a rectangle flower bed is 5ft longer than its width. A sidewalk with a width of 3ft surrounds the bed. If the total area of the bed and sidewalk is 546ft^2, what are the dimensions of the flower bed ?

Step-by-step explanation:

From the question we are told that:

Length of Bed

Width of sidewalk

Area of the bed and sidewalk

Generally the equation for Area of the bed and sidewalk is mathematically given by

Therefore

Solving the Quadratic Equation

  (Using only positive root)

Generally the Length L is mathematically given by

the sum of the lengths of any two sides of a triangle is greater than the length of the third side. if you take the three sides of a triangle and add them in pairs, the sum is greater than (not equal to) the third side. if that is not true, then it is not possible to construct a triangle with the given side lengths.

step-by-step explanation: