Question

A rectangular field is of dimensions 30 m x 15.5 m. Two paths run parallel to the sides of the rectangle
through the centre of the field. The width of the longer path is 1.4 m and that the shorter path is 2m. Find
(a) the area of the paths, and
(b) the cost of cementing the paths at the rate of 70 per m²​

Answer 1

Answer:

ᴡᴇ ᴋɴᴏᴡ ᴛʜᴀᴛ ᴀʟʟ ᴛʜᴇ ᴀɴɢʟᴇs ᴏғ ᴀ ʀᴇᴄᴛᴀɴɢʟᴇ ᴀʀᴇ ° ᴀɴᴅ ᴛʜᴇ ᴅɪᴀɢᴏɴᴀʟ ᴅɪᴠɪᴅᴇs ᴛʜᴇ ʀᴇᴄᴛᴀɴɢʟᴇ ɪɴᴛᴏ ᴛᴡᴏ ʀɪɢʜᴛ ᴀɴɢʟᴇᴅ ᴛʀɪᴀɴɢʟᴇs.

sᴏ, ᴍ ᴡɪʟʟ ʙᴇ ᴏɴᴇ sɪᴅᴇ ᴏғ ᴛʜᴇ ᴛʀɪᴀɴɢʟᴇ ᴀɴᴅ ᴛʜᴇ ᴅɪᴀɢᴏɴᴀʟ, ᴡʜɪᴄʜ ɪs ᴍ, ᴡɪʟʟ ʙᴇ ᴛʜᴇ ʜʏᴘᴏᴛᴇɴᴜsᴇ.

ᴀᴄᴄᴏʀᴅɪɴɢ ᴛᴏ ᴛʜᴇ ᴘʏᴛʜᴀɢᴏʀᴀs ᴛʜᴇᴏʀᴇᴍ:

(ʜʏᴘᴏᴛᴇɴᴜsᴇ) = (ʙᴀsᴇ) + (ᴘᴇʀᴘᴇɴᴅɪᴄᴜʟᴀʀ)

ᴘᴇʀᴘᴇɴᴅɪᴄᴜʟᴀʀ =

√

(ʜʏᴘᴏᴛᴇɴᴜsᴇ)-(ʙᴀsᴇ)

ᴘᴇʀᴘᴇɴᴅɪᴄᴜʟᴀʀ =

√

()-()

=

√

-

=

√

= ᴍ

∴ ᴏᴛʜᴇʀ sɪᴅᴇ ᴏғ ᴛʜᴇ ʀᴇᴄᴛᴀɴɢᴜʟᴀʀ ᴘʟᴏᴛ = ᴍ

ʟᴇɴɢᴛʜ = ᴍ

ʙʀᴇᴀᴅᴛʜ = ᴍ

∴ ᴀʀᴇᴀ ᴏғ ᴛʜᴇ ʀᴇᴄᴛᴀɴɢᴜʟᴀʀ ᴘʟᴏᴛ = ᴍ × ᴍ = ᴍ

ʜᴇɴᴄᴇ, ᴛʜᴇ ᴀʀᴇᴀ ᴏғ ᴀ ʀᴇᴄᴛᴀɴɢᴜʟᴀʀ ᴘʟᴏᴛ ɪs ᴍ

Answer 2

Step-by-step explanation:

Name any one region in northern France not affected by the great fear -------------------