Areas of rectangles, squares and triangles

Question

a. A triangle has a base of 14 m and an area of 39.2 m² . What is the perpendicular height from the given base?

b. A rectangle with area 1512.5 cm² is twice as long as it is wide. Find its length.

Answer 1

a. h = 5.6 m

b. length = 55 cm

Answer 2

a Area= 39.2 = hb/2 = 14h/2 = 7h

h=39.2/7 = 5.6 meters high

b A=1512.5 = Lw = 2w^2

w^2 = 1512.5/2 = 756.25

w = sqr756.5= 27.5

L= 2sqr756.5= 2(27.5) = 55 meters Long