the area of a 10cm wide rectangle is 150 what is the length

To find the length of a rectangle when the width and area are given, we can use the formula:

Area = Length * Width

In this case, the width is given as 10cm and the area is 150. Plugging these values into the formula, we have:

150 = Length * 10

To solve for the length, we can rearrange the equation by dividing both sides by 10:

Length = 150 / 10
Length = 15

Therefore, the length of the rectangle is 15cm.

find the area of the shaded figure

60mm
120mm
a=____mm
​(Type an exact answer in terms of

To find the area of the shaded figure, we need to subtract the area of the smaller rectangle from the area of the larger rectangle.

The larger rectangle has a length of 120mm and a width of 60mm. The area of the larger rectangle is given by:

Area of larger rectangle = length * width
= 120mm * 60mm
= 7200mm^2

The smaller rectangle has a length of 60mm and a width of 60mm. The area of the smaller rectangle is given by:

Area of smaller rectangle = length * width
= 60mm * 60mm
= 3600mm^2

To find the area of the shaded figure, we subtract the area of the smaller rectangle from the area of the larger rectangle:

Area of shaded figure = Area of larger rectangle - Area of smaller rectangle
= 7200mm^2 - 3600mm^2
= 3600mm^2

Therefore, the area of the shaded figure is 3600mm^2.

find the area of the shaded figure

60mm (inner circle)
120mm (outer circle)
a=____mm
​(Type an exact answer in terms of

To find the area of the shaded figure, we need to subtract the area of the inner circle from the area of the outer circle.

The area of a circle is given by the formula:

Area = π * r^2

where π is a constant approximately equal to 3.14, and r is the radius of the circle.

For the outer circle with a radius of 120mm, the area is:

Area of outer circle = π * (120mm)^2 = 14400π mm^2

For the inner circle with a radius of 60mm, the area is:

Area of inner circle = π * (60mm)^2 = 3600π mm^2

To find the area of the shaded figure, we subtract the area of the inner circle from the area of the outer circle:

Area of shaded figure = Area of outer circle - Area of inner circle
= 14400π mm^2 - 3600π mm^2
= 10800π mm^2

Therefore, the area of the shaded figure is 10800π mm^2.

a lot is 50 m by 38 m.

A house is 20m by 8m is built on a lot
how much area is left over?

To find the area left over after a house is built on a lot, we need to find the area of the lot and subtract the area of the house from it.

The area of the lot is given by the formula:

Area of lot = length * width

Given that the lot is 50m by 38m, we have:

Area of lot = 50m * 38m
= 1900m^2

The area of the house is given by the formula:

Area of house = length * width

Given that the house is 20m by 8m, we have:

Area of house = 20m * 8m
= 160m^2

To find the area left over, we subtract the area of the house from the area of the lot:

Area left over = Area of lot - Area of house
= 1900m^2 - 160m^2
= 1740m^2

Therefore, there is 1740m^2 of area left over after the house is built on the lot.