Mathematics, 03.06.2021 17:30 browneyedbaby20

Find the area of the shape below

Answers: 2

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Answers

Answer from: izzyisawesome5232

Q1) 104m²

Q2) 121 in.²

Step-by-step explanation:

Q1)

GIVEN :-

Figure given in the question comprises of a triangle & a rectangle.Length of the rectangle = 10 mWidth of the rectangle = 8 m Base of the triangle = 8 mHeight of the triangle = 6 m

TO FIND :-

Area of the figure

GENERAL FORMULAES TO BE USED IN THIS QUESTION :-

For a triangle with height 'h' & base 'b' , its area = $\frac{1}{2} \times b \times h$ .For a rectangle with length 'l' & width 'w' , its area = $l \times w$

SOLUTION :-

Area of the triangle = $\frac{1}{2} \times 8 \times 6 = 24m^2$

Area of the rectangle = $10 \times 8 = 80m^2$

Area of the figure = (Area of the triangle) + (Area of the rectangle)

= 24m²+ 80m²

= 104m²

Q2)

GIVEN :-

Figure given in the question comprises of a triangle & a trapezium.Lengths of parallel sides of trapezium are 6 in. & 7 in. Height of trapezium = 20 - 3 = 17 in.Base of the triangle = 3 in.Height of the triangle = 7 in.

TO FIND :-

Area of the figure

GENERAL FORMULAES TO BE USED IN THIS QUESTION :-

For a triangle with height 'h' & base 'b' , its area = $\frac{1}{2} \times b \times h$ .For a trapezium with parallel sides whose lengths are 'a' & 'b' and height 'h' , its area = $\frac{1}{2} \times (a +b) \times h$

SOLUTION :-

Area of the triangle = $\frac{1}{2} \times 3 \times 7 = \frac{21}{2} = 10.5 \; in.^2$

Area of the trapezium = $\frac{1}{2} \times (6 +7) \times 17 = \frac{221}{2} = 110.5\; in^2$

Area of the figure = (Area of the triangle) + (Area of the trapezium)

= 10.5 in.² + 110.5 in.²

= 121 in.²

Answer from: Quest

Dbc if u do the math and stuff that what i got let me know if i was wrong

Answer from: Quest

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)

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