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taurus [48]
2 years ago
12

The length of a flowerbed is 4 times as long as its width. If the width is 3/8 meter, what is the area?

Mathematics
2 answers:
bezimeni [28]2 years ago
8 0
3/4 = 0.75 (width)
0.75 * 4 = 3 (width * 4 = length)
3 * 075 = 2.25 (width * length = area)
Damm [24]2 years ago
5 0

Answer: A=\frac{9}{16}\ m^2  (or \ 0.5625\ m^2)

Step-by-step explanation:

The area of a rectangle can be calculated with the following formula:

A=lw

Where "l" is the lenght and "w" is the width.

In this case we know that the length of a flowerbed is 4 times as long as its width. This can be expressed as:

l=4w

We know that the width of the flowerbed is:

w=\frac{3}{8}\ m

Therefore, substituting the width into  l=4w, we get that the length is:

 l=4w\\\\l=4(\frac{3}{8}\ m)\\\\l=\frac{3}{2}\ m

Finally we can substitute the width and the lenght into the formula for calculate the area of a rectangle:

A=(\frac{3}{2}\ m)(\frac{3}{8}\ m)\\\\A=\frac{9}{16}\ m^2

(or \ 0.5625\ m^2)

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Wewaii [24]

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Reason 4: Isosceles triangle

Reason 5: Segment Addition Postulate

Reason 6: Segment Addition Postulate

Reason 7: Substitution

Reason 8: Substitution

Reason 9: Subtraction property of equality

Reason 10: Definition of congruence

Reason 11: Vertical Angles Theorem

Reason 12: Vertical Angles Theorem

Reason 13: ASA (angle side angle) congruence theorem

==================================

Explanations:

Reason 4: Triangle DCE is an isosceles triangle because of statement 1 of the proof table. The congruent base angles lead to congruent opposite sides.

Reason 5 and 6: This is the idea of breaking any segment into smaller pieces. The smaller pieces glue back together to get the larger original segment.

Reasons 7 and 8: Substitution is a math term which means "replacement". So for instance, in line 7 we started with DB = DC + CB (from line 6), then we replaced the "DB" with "DF" (see line 3); and then replaced "DF" with "DE+EF"

Reason 9: In this step, we subtract DE from both sides to have it go away and cancel out

Reason 10: If two lengths are equal, then the segments are congruent

Reason 11 & 12: Two angles are vertical if they are opposite from one another after forming from two lines crossing. Think of an X shape. Vertical angles are congruent.

Reason 13: We have two pairs of congruent angles, and a pair of congruent sides. The sides are between the angles. The order is important. See the attached image below.

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