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the area of a rectangle is 90 in2^. the ratio of the length to the width is 5:2. find the length and the width

-BARSIC- [3]

Length and width of rectangle is 15 inches and 6 inches respectively

<h3>Solution:</h3>

Given that area of a rectangle is 90 square inch

Ratio of length to the width = 5: 2.

Need to determine length and width of rectangle.

As ratio of length to the width is 5 : 2

Lets assume length of rectangle = 5x inches and width of rectangle = 2x inches.

The formula for area of rectangle is given as:

$\text { Area of rectangle }=\text { length of rectangle } \times \text { width of rectangle}$

Substituting the given value of area of rectangle and assumed value of length and width of rectangle we get:

$\begin{array}{l}{90=5 x \times 2 x} \\\\ {=>90=10 x^{2}}\end{array}$

On solving the above expression for x we get

$\begin{array}{l}{=>\frac{90}{10}=x^{2}} \\\\ {=>x^{2}=9} \\\\ {=>x=\sqrt{9}=3}\end{array}$

$\begin{array}{l}{\text { Length of rectangle }=5 \times x=5 \times 3=15 \text { inches }} \\\\ {\text { Width of rectangle }=2 \times} x=2 \times} 3=6 \text { inches }}\end{array}$

Hence length and width of rectangle is 15 inches and 6 inches.

4 0

3 years ago

Find the 12th term of the sequence -15,-9,-3, 3

Reika [66]

First term (a) = -15
common difference(d)= -9-(-15)
= -9+15=6
So,
12th term(a12)= a +(n-1)d
= -15+(12-1)×6
= -15 + 11×6
= -15+66
= 51

4 0

3 years ago

Pythagorean theorem (picture provided)

e-lub [12.9K]

The answer is of option D.

Hope this will help u...:)

8 0

3 years ago

Read 2 more answers

Solve the following system of equations. Enter the x-coordinate of the solution. Round your answer to the nearest tenth.

Sergeu [11.5K]

Answer: 3.7

Step-by-step explanation: 3.706, but since you need it rounded to the nearest tenth its 3.7. If you put both equations on a graph, they intercept. We use the x coordinate in this intersection as the answer.

3 0

3 years ago

The coordinates of which point are (–3, –6)? On a coordinate plane, point A is (negative 3, 6), point B is (negative 6, negative

lana [24]

Given:

The coordinates of a point are (-3,-6).

To find:

The point on the coordinate plane whose coordinates are (-3,-6).

Solution:

From the given information of coordinate plane, it is clear that

Coordinates of point A are (-3, 6).

Coordinates of point B are (-6,-3)

Coordinates of point C are (-3,-6)

Coordinates of point D are (3,-6)

It is clear that, only point C has coordinates (-3,-6).

So, the required point is C.

Therefore, the correct option is C.

8 0

3 years ago

Read 2 more answers