31. The Lopez family bought a plot of land in the shape of a parallelogram.
It is 100 feet wide (across the front) and 200 feet deep (the height). Their
house covers 2,250 square feet of land. How much land is left for grass?

17750 square feet

Step-by-step explanation:

Multipy 200 by 100 to find the whole land. Then subtract 2250 for the house. That will give you 17750, the remaining land.

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