Question

*What is the area of ​​the remaining space if a road of 5 m width is drawn in the square space with 100 m side?*

1️⃣ 8100 sq.m.
2️⃣ 9025 sq.m.
3️⃣ 6400 sq.m.
4️⃣ 7225 sq.m.​

Answer 1

Answer:

Given:

road width: 5 m

sq. side: 100m

Find: area of remaining space

Area of road:

5×100 = 500m²

Area of space:

100×100= 10000m²

Area of remaining space:

10000-500=9500m²

Answer= 9500m²

Answer 2

The area of the remaining space = 9500 sq. m.

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

The square space has a side of it measuring 100 m.

Then, a road is drawn in that square space and it has a width of 5 m.

In order to find the area of the remaining square space, we first need to find the total area of the square space.

Now, we know that, The area of a square is equal to the square of the measurement of one of its sides.

Then we get,

Area of the square space with a side of it measuring 100 m

$=100^{2} \\=10000$ m².

Now, in order to find the area of the road, we need to find the area of a rectangle, which has a length of 100 m and a width of 5 m.

Then, we get that, The area of the road = $5.100$ = 500 m².

Now, area of the remaining space = Area of the square space with a side of it measuring 100 m - area of the road = 10000 - 500 = 9500 sq. m.

Hence, the area of the remaining space = 9500 sq. m.

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