LMNP is a rectangle. Find the value of x and the length of each diagonal.
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Answer:
The area of a rectangle is 42 units ².
Step-by-step explanation:
As the diagram is given below.
Distance Formula
As the rectangle with vertices at A (4, 3), B(11, 3),C (11, 9), and D (4, 9).
Take A (4, 3) to B(11, 3)
AB = 7 units
As take B(11, 3) to C (11, 9).
BC = 6 units
As take C (11, 9) toD (4, 9).
CD = 7 units
As take D (4, 9) to A (4, 3)
DA = 6 units
Thus
AB = DC= 7 units
AD = BC = 6 units
Formula
Area of rectangle = Length × Breadth
Length = 7 units
Breadth = 6 units
Put value in the above
Area of rectangle = 7 × 6
= 42 units ²
Therefore the area of a rectangle is 42 units ².