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Ghella [55]
2 years ago
10

A triangle has the length of 6cm and height of 8cm. The area of the rectangle is 5 times the area of the triangle. The rectangle

has the length of 12cm. Work out what the width is.
Mathematics
2 answers:
Y_Kistochka [10]2 years ago
4 0
Area of triangle = 24cm
Area of rectangle = 120
therefore, w x 12 = 120
w = 10
-BARSIC- [3]2 years ago
4 0

Answer:

10cm

Step-by-step explanation:

Since the area of the rectangle is 5times the area of the triangle, let us first of all find the area of the triangle.

From the question, we obtained the following information:

h = 8cm

b =6cm

Area of triangle = 1/2 x b x h

Area of triangle = 1/2 x 6 x 8

Area of triangle = 24cm^2

But,

Are of the rectangle = 5times the area of triangle i.e

Area of rectangle = 5 x 24 = 120cm^2

Area of rectangle = L x w

L = 12cm

Area of rectangle = 120cm^2

W =?

120 = 12 x w

Divide both side by 12

W = 120 /12 = 10cm

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luda_lava [24]

Angle BOC = 120

PROOF

Angle A + Angle B + Angle C = 180

So, Angle B + Angle C = 120 (Angle A = 60)

Now 1/2 (Angle B + Angle C) = 60

1/2 Angle B + 1/2 Angle C = 60..............i

In triangle BOC

1/2 Angle B + 1/2 Angle C + Angle BOC =180

(BO and CO are angle bisectors)

Or 60 + Angle BOC = 180 (using i)

OR ANGLE BOC = 120

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