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What are the dimensions of a rectangle when one side is greater than the other side by 5 cm and whose area is numerically twice its perimeter showing work?
Wiki User
∙ 9y ago
How many marks do I get from your teacher for this:
let the width of the rectangle by w cm
Then its length is w + 5 cm
→ perimeter = 2 x (w + (w + 5)) = 4w + 10
→ area = w(w + 5) = w^2 + 5w
but area = 2 x perimeter
→ w^2 + 5w = 2 x (4w + 10)
→ w^2 + 5w = 8w + 20
→ w^2 - 3w - 20 = 0
→ w = (3 + √89) ÷ 2 or (3 - √89) ÷ 2
The second leads to a negative length (≈ -3.22) which can't exist
→ the lengths are (3 + √89) ÷ 2 and (3 + √89) ÷ 2 + 5, ie
The rectangle is (3 + √89) ÷ 2 (≈ 6.22 cm) by (13 + √89) ÷ 2 (≈ 11.22 cm)
Wiki User
∙ 9y ago
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Which has a greater perimeter the rectangle with the dimensions 21x 2 or the dimensions 6x7?
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Is it sometimes always or never true that the perimeter of a rectangle is numerically greater than its area?
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Will a rectangle with a greater perimeter also have a greater areea?
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Conventionally, any fraction greater than a quarter.
Which has a greater perimeter the rectangle with the dimensions 21x 2 or the dimensions 6x7?
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A rectangle has an area of 42 square inches.which has a greater perimeterthe rectangle with the dimensions x or the dimensions x?
There is no limit to the size of the perimeter.
The length of a rectangle is 3 cm greater than its width the perimeter is 24 cm What are the dimensions of the rectangle?
7.5cm x 4.5cm
Can a rectangle have a greater perimeter and also have a greater area?
Of course, a rectangle can have a greater perimeter and a greater area. Simply double all the sides: the perimeter is doubled and the area is quadrupled - both bigger than they were.
Is it sometimes always or never true that the perimeter of a rectangle is numerically greater than its area?
Sometimes. Experiment with a small square and with a large square (though any shape rectangle will do). A square of 4 x 4 has a perimeter of 16, and an area of 16. A smaller square has more perimeter than area. A larger square has more area than perimeter.
Will a rectangle with a greater perimeter also have a greater areea?
Yes.
Can a rectangle have a greater perimeter than another one but have a greater area too?
yes it can; a rectangle 5 by 2 has perimeter 14 and area 10 for example; a rectangle 10 by 2 has perimeter 24 and area 20, both greater.
The formula for the perimeter of a rectangle is P equals 2l plus 2w where l is the lengty and w is the width a rectangle has a permeter of 24 inches find its dimensions if its length is 3 in greater?
39
Is The area of a rectangle always greater than the perimeter?
To answer this simply try a few out for yourself. In a 2x1 cm rectangle, the area is 2 cm squared and the perimeter is 6 cm In a 12x10 rectangle, the area is 120 cm squared and the perimeter is 44 cm. In some cases, the perimeter is larger and in others it is smaller. To answer your question, no, the perimeter of a rectangle is NOT always greater than its area.
What is the perimeter of a 40 acre rectangle of land?
Any length greater than 1 mile. The area of a rectangle is not sufficient to determine its perimeter.
What fraction of the perimeter of the rectangle is length of the rectangle?
Conventionally, any fraction greater than a quarter.
Why is the perimeter of a square greater than the perimeter of a rectangle?
It is not. The perimeter of a 1 cm square is 4 cm. The perimeter of a 5 km * 15 km rectangle is 4000000 cm: a million times as large!
