Question

Help with all of these please explain if u can !

Answer 1

1. 78cm^2

2. 200 ft^2

Explanation:

1. i always cut these complex shapes into simpler ones (in this case a rectangle and a triangle)

the rectangles area is 6*8 or 48 and the triangles area is (10*6)/2 or 30 you then add the two areas to get the area for the whole shape 48+30=78

2. once again you're going to break this shape up into the individual rooms and then add them together the garage is a 4*6 room (24) the bedroom is a 8*4 room (32) the living room is a 10*10 room (100) the kitchens a 6*6 room (36) and the bathroom is a 4*2 room (8) you then add all these together

24+32+100+36+8=200

Answer 2

Area of Q4 is 78 sq cm

Area of Q5 is 200 sq ft.

Explanation:

SOLUTION OF 4

The given figure is a trapezium.

Here,
`b_(1)` and
`b_(2)` are the two parallel sides.

`b_(1)` = 8 cm

`b_(2)` = 8+10 = 18 cm

h is the height.

h = 6 cm

Area of the fig =
`(1)/(2)`h(
`b_(1)` +
`b_(2)` )

So,

Area =
`(1)/(2)`×6×(18+8) sq cm

= 78 sq cm

SOLUTION OF 5

For garage,

Length (l) = 6 ft

Width (w) = 4 ft

For bedroom,

Length (l) = 8 ft

Width (w) = 4 ft

For dining space,

Length (l) = 10 ft

Width (w) = 10 ft

For washroom,

Length (l) = 2 ft

Width (w) = 4 ft

For drawing room,

Length (l) = 6 ft

Width (w) = 6 ft

Formula

The area of the rectangle = l×w

Now,

Area of the garage = 24 sq ft

Area of the bedroom = 32 sq ft

Area of the dining space = 100 sq ft

Area of the washroom = 8 sq ft

Area of the drawing room = 36 sq ft

Hence, area of the house = 24+32+100+8+36 sq ft = 200 sq ft.