The perimeter of a rectangle must be greater than 70 cm, but the length cannot be greater than 30 cm and the width cannot be gre
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Answer:
Step-by-step explanation:
to find the surface area we need to find the followng areas:
- area of the square
- area of a triangle and multiply it by 4 (because there are 4 triangles)
And once we have those areas, we add them to find the surface area.
Area of the square:
the formula to find the area of a square is:
where is the length of the side:
thus the area of the square is:
Area of the triangles:
the are of 1 triangle is given by
where is the base of the triangle:
(the base of the triangle is the side of the square)
and is the height of the triangle:
thus, the area of 1 triangle is:
the area of the 4 triangles is (we multiply by 4):
finally we add the area of the square and the area of the 4 triangles to find the total surface area:
Let's assume
x represent the number of trips that the larger truck makes
so, we are given
If the smaller truck makes 18 more trips than the larger
so,
number of trips for larger truck =x
number of trips for smaller truck =x+18
The capacities of two trucks are 3 tons and 4 tons respectively
so, capacity of smaller truck per trip =3 tons / trip
total ton carried by smaller truck = (number of trips for smaller truck)*(capacity of smaller truck per trip)
now, we can plug values
total ton carried by smaller truck =3*(x+18)
total ton carried by larger truck = (number of trips for larger truck)*(capacity of larger truck per trip)
total ton carried by larger truck =4x
it can deliver 12 more tons of freight than the larger
so, we get
we can move 4x on left side
we get
...............Answer