A rectangle has a perimeter of 170 centimeters and a length of 60 centimeters. Find the area.
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The area of the rectangle equals Length(L)* Width(W)
We know that L=60 cm
We have the perimeter = 170
But the perimeter = 2L + 2W = 170
==> 2(60)+ 2W =170
==> 120 + 2w = 170
==> 2w= 50
==> w = 25 cm
Then the area = L*W = 60 * 25 = 1500 cm^2
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We know that the rectangle has:
Perimeter (P) = 170 cm
Length (l) = 60 cm
Area (A) = lxw = 60xw = ?
To find the area, we need to find the width. We will find the width using the rectangle's perimeter & length. The formula for perimeter of a rectangle is P= 2(l+w)
- Plug-in what we know: 170 = 2(60+w)
- Divide 2 on both sides: 85 = 60+ w
- Isolate w by subtracting 60 from both sides: 25 = w
Now that we know what w is 25 cm, we can use the area formula and find the area
- A= lxw
- A= 60 cm x 25 cm
- A= 1500 `cm^(2)`
Use the equation 2 ( 60 ) + 2w = 170 with " w " as the width .
2 ( 60 ) + 2w = 170 now multiply 2 with 60 .
By multiplying 2 with 60 , you should get :
120 + 2w = 170 now subtract 120 on both sides
By subtracting 120 on both sides , you should have :
2w = 50 now divide both sides by 2 .
By dividing both sides by 2 , you should get :
w = 25
Since width is 25 and length is 60 , find the area by multiplying 25 with 60
Area = 1500 cm ^2
Perimeter of the rectangle =170 cm. The length is 60cm .
So the breadth of the rectangle = (Primeter- 2*length)/2 = (170-2*60)/2 cm= (170-120)/2 cm= 50/2 cm = 25cm
So the area of the rectangle = length*breadth = 60 cm*25cm = 1500 cm^2
The perimeter of a rectangle is:
P = 2(w + L), where w is the width and L is the length
From enunciation we know that:
P = 170cm and L = 60cm
We'll substitute P and L by their values:
170cm = 2(w + 60cm)
We'll open the brackets:
170cm = 2w + 120cm
We'll subtract 120cm both sides:
50cm = 2w
We'll divide by 2 both sides:
w = 25cm
Now, knowing the length and the width, we could calculate the area of the rectangle:
A = w*L
A = 25cm*60cm
A = 1500cm^2
Given:
Perimeter of rectangle = 170 centimeters
Length of rectangle = 60 centimeters
We know:
Perimeter of rectangle = 2(Length + Width)
Substituting given values of perimeter and length in the above equation:
170 = 2(60 + Width)
170 = 120 + 2*Width
2*Width = 170 - 120 = 50
Therefore:
Width = 50/2 = 25 centimeters
Area of a perimeter is given by:
Area = Length*Width
Substituting the values of Length and width we get:
Area = 60*25 = 1500 centimeter^2
Answer:
Area of Rectangle = 1500 centimeter^2
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