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3 years ago

A rectangle has perimeter 84cm and length 35cm. What is its width?

2 answers:

8 0

We know a rectangle has 4 sides, 2 longer and 2 shorter. If one side is 35 cm, then we know that another side is also 35cm. So, the lengths of 2 of the sides are 70 cm together. We have 14 cm left. Divide 14 by 2. The other 2 sides are 7 cm wide.

horsena [70]3 years ago

5 0

Perimeter is 2 length + 2 width so 84=2(35) + 2(width)

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use the pythagorean theorem to find the missing side length. 2 write sin, cosine, tangent of each angel.

Harlamova29_29 [7]

Answer:

1) $x=5\sqrt{3}$

2) $sin(a)=5\sqrt{3}/14$

$sin(b)=11/14$

$cos(a)=11/14$

$cos(b)=5\sqrt{3}/14$

$tan(a)=5\sqrt{3}/11$

$tan(b)=11/5\sqrt{3}$

Step-by-step explanation:

The Pythagorean Theorem is:

$a^{2}=b^{2}+c^{2}$

Where a is the hypotenuse and b and c are the legs.

The missing side lenght is one of the legs, then you must solve for one of them. Therefore, this is:

$x=\sqrt{(14yd)^{2}-(11yd)^{2}}=5\sqrt{3}yd$

MEASURE OF ANGLE:

Keep the identities on mind:

$sin\alpha=opposite/hypotenuse$

$cos\alpha=adjacent/hypotenuse$

$tan\alpha=opposite/adjacent$

Susbstitute values, then:

$sin(a)=5\sqrt{3}/14$

$sin(b)=11/14$

$cos(a)=11/14$

$cos(b)=5\sqrt{3}/14$

$tan(a)=5\sqrt{3}/11$

$tan(b)=11/5\sqrt{3}$

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3 years ago

Tina is making rectangular signs. Each poster has an area of 1800 square inches and the length is 30 inches more than the width.

Fittoniya [83]

Let the width be x. Since the length is 30inches longer than the width, the length is 30 + x.
Area = length x width = (30 + x)(x)
i.e. (30 + x)(x) = 1800 square inches.

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