Answer:
x = 45
y = 7
Step-by-step explanation:
To obtain the value of x and y, do the following:
√7 – 3√5
Rearrange
– 3√5 + √7
Multiply through by –1
3√5 – √7 ... (1)
Express 3√5 as a single surd
3√5 = √(3 × 3 × 5)
3√5 = √45
Replace 3√5 with √45 in equation 1
3√5 – √7
√45 – √7
Comparing
√45 – √7 and √x – √y i.e
√45 – √7 = √x – √y
x = 45
y = 7
Answer:
<em>b = 12 cm</em>
Step-by-step explanation:
<u>The Pythagora's Theorem</u>
The area of a square of side length x is

We have three squares, two of which have side lengths of a=5 cm and b= 13 cm.
The combined area of the smaller squares is the same as the area of the largest square. We cannot say at first sight which square is the largest, we'll assume the square of side length of 13 cm is the largest one. Thus:

Where b is the unknown side length.
The above expression corresponds to the Pythagora's Theorem formula. Solving for b:


b = 12 cm
Answer:
Area is 20
Perimeter is 24
A= L × W
Step-by-step explanation:
Area is found by multiplying the length by the width, which in this case is 10 × 2 = 20
Perimeter is found by adding all of the sides together, so 2 + 2 + 10 + 10 = 24
A= Legnth × Width or vise versa