The two rectangles shown below have the same perimeter. Write and solve an equation to find the value of x. Then find the measures of the length and width of
Rectangle B. All measurements are in inches.

9514 1404 393

Step-by-step explanation:

The sum of length and width is half the perimeter. If the perimeter is the same, so will be the sum of length and width:

  7 + 5 = x + (4x -3)

  15 = 5x . . . . . . . add 3, simplify

  3 = x

The value of x is 3.

The length of Rectangle B is 4(3)-3 = 9 inches.

The width of Rectangle B is 3 inches.

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