A rectangle has a length that is three feet more than twice it's width. If the area of the rectangle is 90 square feet, then algebraically determines its width and length

width = 6 feet

Length = 15 feet

Step-by-step explanation:

Let L represent the length of the rectangle.

Let W represent the width of the rectangle.

A rectangle has a length that is three feet more than twice its width. It means that

L = 2W + 3

Area = length × width

If the area of the rectangle is 90 square feet, it means that

W(2W + 3) = 90

2W² + 3W = 90

2W² + 3W - 90 = 0

2W² + 15W - 12W - 90 = 0

W(2W + 15) - 6(2W + 15) = 0

W - 6 = 0 or 2W + 15 = 0

W = 6 or W = - 15/2

Since the width cannot be negative, then

W = 6

L = 2W + 3 = 2 × 6 + 3

L = 15

intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

hope this

fwms@lil_ben06

step-by-step explanation: