Question

what is total area she needs to cover with carpet ? please ans​

Answer 1

Area of the entire carpet is 36 $m^{2}$.

Here, according to the given information, we are given that,

There are two triangles as well as a rectangle that is comprising the carpet and we need to find the area of the entire carpet.

In order to find the area of the entire carpet, we need to find the area of the two triangles as well as the area of the rectangle separately.

Now, for the triangles, since the two triangles are similar, we can find the area of one triangle and we shall multiply that area by 2 to double the area.

Now, the length of the base of the triangle is given as, 4m and the length of the height is given as 3m.

Now, we know that, the area of a triangle is given as,

$\frac{1}{2} .base.height$

That is, Area of the triangle = $\frac{1}{2} .4.3 = 6m^{2}$

Then, the area of the two triangles = $2(6) = 12 m^{2}$

Now, the length of the rectangle is 12m and the width is given as 2m.

Then, we know that, the area of a rectangle is length × width.

Then, the area of the rectangle = $2.12 = 24m^{2}$.

Then, area of the entire carpet = 12 + 24 = 36 $m^{2}$.

Hence, area of the entire carpet is 36 $m^{2}$.

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