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Viefleur [7K]
3 years ago
10

Determine the area of a circle

Mathematics
1 answer:
zubka84 [21]3 years ago
3 0
I don’t see any pictures
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The area of a rectangle is 45 cm2. Two squares are constructed such that two adjacent sides of the rectangle are each also the s
Zielflug [23.3K]

Answer:

The lengths of sides of squares are 5 cm and 9 cm.

Step-by-step explanation:

Let the sides of rectangle be x and y .

Area of rectangle = Length × Breadth

Given : Area of rectangle = 45 cm².

⇒ x × y  = 45  

⇒ x=\frac{45}{y}  ........(1)

Two squares are constructed such that two adjacent sides of the rectangle

so squares have side x and y .

Area of square = side × side

Area of square with side x = x²

Area of square with side y = y²

Also, The combined area of the two squares is 106 cm².

⇒ x² + y² = 106

From (1) put value of x , we get,

(\frac{45}{y})^2+y^2=106

Solving for y ,

(\frac{45}{y})^2+y^2=106  

2025+y^4=106y^2  

y^4-106y^2+2025=0  

y^4-81y^2-25y^2+2025=0  

y^2(y^2-81)-25(y^2-81)=0  

(y^2-25)(y^2-81)=0

y^2-81=0 or y^2-25=0    

on solving we get y = 5 and y = 9

Also, x can be find by putting in (1),

⇒ x=\frac{45}{5}=9 and ⇒ x=\frac{45}{9}=5  

⇒ x = 9 and x = 5

Thus, lengths of sides of squares are 5 cm and 9 cm.

6 0
3 years ago
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Answer and ill mark you BRAINIEST
OlgaM077 [116]

Answer:

Step-by-step explanation:

Circle - A = πr²

Semi circle - A= 1/2 πr²

Trapezoid -  A= 1/2 (base 1 + base 2 ) x height

Rectangle - length x width

Triangle - A= 1/2 base x height

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3 years ago
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I need Help with this problem
yuradex [85]
X-6=36
x=42
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3 years ago
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List the first 11 perfect squares
vlabodo [156]
1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121
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3 years ago
Cassie bought a pair of loafers for $29.95. Tights were on sale for 3 pairs for $10.00. She gave the clerk $60.00. How much chan
monitta

Answer:

$20.05 is Cassie's change

Step-by-step explanation:

60.00-29.95=30.05

30.05-10=20.05

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3 years ago
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