The surface area of a rectangular prism is 48 square feet the area of its front is 4 square feet and the area of one side is 10 square feet what is the area of the top of the prism

the top area is 10 square feet

Step-by-step explanation:

the prism has 6 faces, these are separated into 3 groups that each group has 2 equal elements

there will be another face like the base, another face equal to the front, and another face equal to the other side

so we are going to make an equation for the surface of the prism

f = front side = 4

s = side = 10

b * 2 + f * 2 + s * 2 = 48

we replace the values and clear b

b * 2 + f * 2 + s * 2 = 48

b * 2 + (4) * 2 + (10) * 2 = 48

2b + 8 + 20 = 48

2b = 48 - 20 - 8

2b = 20

b = 10

as the base and the top area are the same

the top area is 10 square feet