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17. The area of the rectangle shown exceeds the area of the square by
2 cm². Find x.
y
X
x-1
18. The area of the square exceeds the area of the rectangle by 13 m².
Find y.
X
x + 2
y
X
y + 1
19. The area of the square is half the area of the rectangle. Find x.
y-3
2(x + 4)
(x - 2)

17 The area of the rectangle shown exceeds the area of the square by 2 cm Find x y X x1 18 The area of the square exceeds the area of the rectangle by 13 m Find class=

Respuesta :

The values of the missing variables from the areas of rectangle and square are;

17) x = 4

18) y = 5

19) x = 4

What is the area of the rectangle and square?

17) The formula for area of rectangle is;

A = Length * Width

Formula for area of square is;

A = side * side

Thus;

A_rect = (x - 1)(x + 2) = x² + x - 2

A_sq = x²

The area of the rectangle shown exceeds the area of the square by

2 cm². Thus;

x² + x - 2 - x² = 2

x - 2 = 2

x = 4

18) Area of the square; A_sq = y²

Area of the rectangle; A_rect = (y - 3)(y + 1) = y² - 2y - 3

The area of the square exceeds the area of the rectangle by 13 m². Thus;

y² - y² + 2y + 3 = 13

2y = 10

y = 5

19) The area of the square is half the area of the rectangle. Thus;

x² = ¹/₂(2(x² + 2x - 8))

x² = x² + 2x - 8

2x - 8 = 0

x = 4

Read more about area of rectangle and square at; https://brainly.com/question/25292087

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