The area of a parallelogram is the product of the length of the base and the height measured perpendicular to the base.

1i) (20 cm)*(12 cm) = 240 cm^2

2ii) (7 cm)*(7.5 cm) = 52.5 cm^2

3iii) 27 cm^2 = (6 cm)*h
.. h = (27 cm^2)/(6 cm) = 4.5 cm

4 0

3 years ago

The highest scorer of the women's basketball championship was Jessica Bradley. She scored 114 more points than Tina Harner, her

Harman [31]

THIS IS AN EXAMPLE:

Answer: Bradley scored 854 points and Harner scored 748 points.

Step-by-step explanation:

Start by representing the problem mathematically. "B" will represent Bradley's score, and "H" will represent Harner's score.

B+H=1602 represents that the sum of the scores is 1602.

B-H=106 represents that Bradley has 106 more points than Harner.

Now, combine the like terms in the two equations to get 2B=1708 . Now divide each side by two to find that Bradley scored 854 points.

Now, we can just subtract Bradley's score from the total score to get Harner's score. 1602-854=748, so Harner scored 748 points.

8 0

3 years ago

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Length of a rectangle is 5 cm longer than the width. Four squares are constructed outside the rectangle such that each of the sq

TiliK225 [7]

Answer:

The perimeter of rectangle is $18\ cm$

Step-by-step explanation:

Let

x-----> the length of the rectangle

y----> the width of the rectangle

we know that

$x=y+5$ ----> equation A

$120=xy+2x^{2}+2y^{2}$ ---> equation B (area of the constructed figure)

substitute the equation A in equation B

$120=(y+5)y+2(y+5)^{2}+2y^{2}$

$120=(y+5)y+2(y+5)^{2}+2y^{2}\\ 120=y^{2}+5y+2(y^{2}+10y+25)+2y^{2}\\ 120=y^{2}+5y+2y^{2}+20y+50+2y^{2}\\120=5y^{2}+25y+50\\5y^{2}+25y-70=0$

using a graphing calculator -----> solve the quadratic equation

The solution is

$y=2\ cm$

Find the value of x

$x=y+5 ----> x=2+5=7\ cm$

Find the perimeter of rectangle

$P=2(x+y)=2(7+2)=18\ cm$

4 0

3 years ago

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