Which is one way to check 102÷6 = 17? A) 105÷10 = 10 .5 B) 17÷6 = 102 C) 100÷5 = 20 D) 100×5 = 500
1 answer:
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<h2>Answer:</h2>
The expression which represents the perimeter P of the rectangle as a function of L is:
The length and width of a rectangle are denoted by L and W respectively.
Also the diagonal of a rectangle is: 10 inches.
We know that the diagonal of a rectangle in terms of L and W are given by:
( Since, the diagonal of a rectangle act as a hypotenuse of the right angled triangle and we use the Pythagorean Theorem )
Hence, we have:
But we know that width can't be negative. It has to be greater than 0.
Hence, we have:
Now, we know that the Perimeter of a rectangle is given by:
Here we have:
Question:
ABCD is a trapezium in which AB ∥ CD, AD ⊥ DC, AB = 4 cm, BP = 7 cm and DC = 25 cm, then area of the trapezium is ____.
Answer:
101.5cm²
Step-by-step explanation:
The figure for the trapezium ABCD is attached to this response.
To find the area of the trapezium, we use the formula for calculating the area of a trapezium given as follows;
A = x (a + b) x h ------------------(i)
Where;
A = area of the trapezium
a and b are the parallel sides of the trapezium
h = height of the trapezium.
As shown in the figure,
<em>AB and CD are parallel</em>
Therefore, we can say that;
a = AB
b = CD
Also, from the figure,
<em>The height of the trapezium is BP</em>
Therefore, we can say that;
h = BP
We know that;
a = AB = 4cm
b = CD = 25cm
h = BP = 7cm
Substitute these values of a, b and h into equation (i) as follows;
A = x (4 + 25) x 7
A = x (29) x 7
A = 101.5
Therefore, the area of the trapezium is 101.5cm²
