Step-by-step explanation:
just think about the basic formulas for area and perimeter of rectangles, and what pieces of information we already have directly.
area = length × width
perimeter = 2×length + 2×width = 136 m
=> length + width = 68 m
then we know
length = 2×width + 8
this we use as substitute in the simplified perimeter equation :
2×width + 8 + width = 68
3×width + 8 = 68
3×width = 60
width = 20 m
and therefore
length = 2×width + 8 = 2×20 + 8 = 40+8 = 48 m
and now we can calculate the area :
area = length×width = 48×20 = 960 m²
please consider that for a length or distance we use m (or other length units), for and area then m². for a volume then m³. as a basic unit for an area is a square. and for a volume a cube.
