Answer: D. 9.4 units
Explanation: We use the Pythagoras theorem because we know that it’s a right triangle and we have 2 lengths.
8^2+5^2= c^2
89=c^2
c= sqrt 89
c≈9.4 units
Its pretty simple
9x-7y = 22
x + 3y = -24
(9x-7y = 22)
-9(x + 3y = -24)
= -9x -27y = 216
+ 9x-7y = 22
= -34y = 238
= / -34 = 238/-34
y = -7
now plug -7 in one of the equation
x + 3(-7) = -24
x -21 = -24
+21. +21
x = -3
so answer is x = -3 and y = -7
Answer: The area of the enclosure is 1,029 square meters
Step-by-step explanation: The first thing is to use the unit of measurement required by the question, and to do this we need to convert what we have to what is required.
If the scale of the diagram is given as every 4cm represents 7m, that means, every unit of the actual measurement would be given as
(X/4) x 7
For the length of the enclosure, we can determine that as follows;
Length = (28/4) x 7
Length = 7 x 7
Length = 49m
And for the width,
Width = (12/4) x 7
Width = 3 x 7
Width = 21m
Therefore, the area is calculated as,
Area = L x W
Area = 49 x 21
Area = 1029 m²
D is the only one which would make sense :)
