7.The dimensions of a rectangular field are (4.1X +5.6Y) , (X+1.5Z) units . Find the area of that field.
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Given : dimensions of a rectangular field are (4.1X +5.6Y) , (X+1.5Z) units .
To Find : the area of the field.
Solution:
dimensions of a rectangular field are (4.1X +5.6Y) , (X+1.5Z) units .
Length = (4.1X +5.6Y)
Breadth = (X+1.5Z)
area of rectangle = length * breadth
area of the field = (4.1X +5.6Y)(X+1.5Z)
Using distributive property
4.1X (X+1.5Z) + 5.6Y (X+1.5Z)
= 4.1X²+6.15XZ + 5.6XY +8.4YZ
= 4.1X² + 5.6XY +8.4YZ +6.15XZ
area of the field = 4.1X² + 5.6XY +8.4YZ +6.15XZ sq units
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